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Finding the Fourth Proportional to 361.85, 542.82 and 118.29

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Solution

The fourth proportional to 361.85, 542.82 and 118.29 is: 177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.85 : 542.82 = 118.29 : x
  2. Step 2: Convert to fraction form
    361.85/542.82 = 118.29/x
  3. Step 3: Cross multiply
    361.85x = 542.82 × 118.29
  4. Step 4: Simplify right side
    361.85x = 64,210.18
  5. Step 5: Solve for x
    x = 64,210.18/361.85
  6. Step 6: Final answer
    x = 177.45

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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.