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Finding the Fourth Proportional to 618.96, 928.46 and 180.24

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Solution

The fourth proportional to 618.96, 928.46 and 180.24 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.96 : 928.46 = 180.24 : x
  2. Step 2: Convert to fraction form
    618.96/928.46 = 180.24/x
  3. Step 3: Cross multiply
    618.96x = 928.46 × 180.24
  4. Step 4: Simplify right side
    618.96x = 167,344.73
  5. Step 5: Solve for x
    x = 167,344.73/618.96
  6. Step 6: Final answer
    x = 270.36

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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.