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Finding the Fourth Proportional to 618.98, 928.31 and 180.23

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Solution

The fourth proportional to 618.98, 928.31 and 180.23 is: 270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.98 : 928.31 = 180.23 : x
  2. Step 2: Convert to fraction form
    618.98/928.31 = 180.23/x
  3. Step 3: Cross multiply
    618.98x = 928.31 × 180.23
  4. Step 4: Simplify right side
    618.98x = 167,303.77
  5. Step 5: Solve for x
    x = 167,303.77/618.98
  6. Step 6: Final answer
    x = 270.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.