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Finding the Fourth Proportional to 542.28, 813.51 and 176.99

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Solution

The fourth proportional to 542.28, 813.51 and 176.99 is: 265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.28 : 813.51 = 176.99 : x
  2. Step 2: Convert to fraction form
    542.28/813.51 = 176.99/x
  3. Step 3: Cross multiply
    542.28x = 813.51 × 176.99
  4. Step 4: Simplify right side
    542.28x = 143,978.40
  5. Step 5: Solve for x
    x = 143,978.40/542.28
  6. Step 6: Final answer
    x = 265.51

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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.