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Finding the Fourth Proportional to 542.47, 813.83 and 157.75

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Solution

The fourth proportional to 542.47, 813.83 and 157.75 is: 236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.47 : 813.83 = 157.75 : x
  2. Step 2: Convert to fraction form
    542.47/813.83 = 157.75/x
  3. Step 3: Cross multiply
    542.47x = 813.83 × 157.75
  4. Step 4: Simplify right side
    542.47x = 128,380.89
  5. Step 5: Solve for x
    x = 128,380.89/542.47
  6. Step 6: Final answer
    x = 236.66

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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.