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Finding the Fourth Proportional to 542.14, 813.20 and 157.38

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Solution

The fourth proportional to 542.14, 813.20 and 157.38 is: 236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 813.20 = 157.38 : x
  2. Step 2: Convert to fraction form
    542.14/813.20 = 157.38/x
  3. Step 3: Cross multiply
    542.14x = 813.20 × 157.38
  4. Step 4: Simplify right side
    542.14x = 127,981.42
  5. Step 5: Solve for x
    x = 127,981.42/542.14
  6. Step 6: Final answer
    x = 236.07

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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.