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Finding the Fourth Proportional to 278.51, 384.08 and 180.23

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Solution

The fourth proportional to 278.51, 384.08 and 180.23 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.51 : 384.08 = 180.23 : x
  2. Step 2: Convert to fraction form
    278.51/384.08 = 180.23/x
  3. Step 3: Cross multiply
    278.51x = 384.08 × 180.23
  4. Step 4: Simplify right side
    278.51x = 69,219.92
  5. Step 5: Solve for x
    x = 69,219.92/278.51
  6. Step 6: Final answer
    x = 248.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.