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Finding the Fourth Proportional to 621.54, 932.16 and 182.78

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Solution

The fourth proportional to 621.54, 932.16 and 182.78 is: 274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.54 : 932.16 = 182.78 : x
  2. Step 2: Convert to fraction form
    621.54/932.16 = 182.78/x
  3. Step 3: Cross multiply
    621.54x = 932.16 × 182.78
  4. Step 4: Simplify right side
    621.54x = 170,380.20
  5. Step 5: Solve for x
    x = 170,380.20/621.54
  6. Step 6: Final answer
    x = 274.13

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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.