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Finding the Fourth Proportional to 239.55, 359.19 and 142.17

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Solution

The fourth proportional to 239.55, 359.19 and 142.17 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.55 : 359.19 = 142.17 : x
  2. Step 2: Convert to fraction form
    239.55/359.19 = 142.17/x
  3. Step 3: Cross multiply
    239.55x = 359.19 × 142.17
  4. Step 4: Simplify right side
    239.55x = 51,066.04
  5. Step 5: Solve for x
    x = 51,066.04/239.55
  6. Step 6: Final answer
    x = 213.17

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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.