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Finding the Fourth Proportional to 361.98, 542.96 and 145.71

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Solution

The fourth proportional to 361.98, 542.96 and 145.71 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 542.96 = 145.71 : x
  2. Step 2: Convert to fraction form
    361.98/542.96 = 145.71/x
  3. Step 3: Cross multiply
    361.98x = 542.96 × 145.71
  4. Step 4: Simplify right side
    361.98x = 79,114.70
  5. Step 5: Solve for x
    x = 79,114.70/361.98
  6. Step 6: Final answer
    x = 218.56

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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.