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Finding the Fourth Proportional to 542.16, 813.46 and 177.04

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Solution

The fourth proportional to 542.16, 813.46 and 177.04 is: 265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 813.46 = 177.04 : x
  2. Step 2: Convert to fraction form
    542.16/813.46 = 177.04/x
  3. Step 3: Cross multiply
    542.16x = 813.46 × 177.04
  4. Step 4: Simplify right side
    542.16x = 144,014.96
  5. Step 5: Solve for x
    x = 144,014.96/542.16
  6. Step 6: Final answer
    x = 265.63

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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.