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Finding the Fourth Proportional to 361.68, 542.72 and 145.24

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Solution

The fourth proportional to 361.68, 542.72 and 145.24 is: 217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.68 : 542.72 = 145.24 : x
  2. Step 2: Convert to fraction form
    361.68/542.72 = 145.24/x
  3. Step 3: Cross multiply
    361.68x = 542.72 × 145.24
  4. Step 4: Simplify right side
    361.68x = 78,824.65
  5. Step 5: Solve for x
    x = 78,824.65/361.68
  6. Step 6: Final answer
    x = 217.94

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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.