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Finding the Fourth Proportional to 542.64, 813.84 and 195.92

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Solution

The fourth proportional to 542.64, 813.84 and 195.92 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 813.84 = 195.92 : x
  2. Step 2: Convert to fraction form
    542.64/813.84 = 195.92/x
  3. Step 3: Cross multiply
    542.64x = 813.84 × 195.92
  4. Step 4: Simplify right side
    542.64x = 159,447.53
  5. Step 5: Solve for x
    x = 159,447.53/542.64
  6. Step 6: Final answer
    x = 293.84

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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.