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Finding the Fourth Proportional to 542.04, 812.85 and 195.29

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Solution

The fourth proportional to 542.04, 812.85 and 195.29 is: 292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.04 : 812.85 = 195.29 : x
  2. Step 2: Convert to fraction form
    542.04/812.85 = 195.29/x
  3. Step 3: Cross multiply
    542.04x = 812.85 × 195.29
  4. Step 4: Simplify right side
    542.04x = 158,737.41
  5. Step 5: Solve for x
    x = 158,737.41/542.04
  6. Step 6: Final answer
    x = 292.85

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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.