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Finding the Fourth Proportional to 361.16, 542.02 and 155.80

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Solution

The fourth proportional to 361.16, 542.02 and 155.80 is: 233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.16 : 542.02 = 155.80 : x
  2. Step 2: Convert to fraction form
    361.16/542.02 = 155.80/x
  3. Step 3: Cross multiply
    361.16x = 542.02 × 155.80
  4. Step 4: Simplify right side
    361.16x = 84,445.33
  5. Step 5: Solve for x
    x = 84,445.33/361.16
  6. Step 6: Final answer
    x = 233.82

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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.