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Finding the Fourth Proportional to 174.39, 242.24 and 172.72

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Solution

The fourth proportional to 174.39, 242.24 and 172.72 is: 239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.39 : 242.24 = 172.72 : x
  2. Step 2: Convert to fraction form
    174.39/242.24 = 172.72/x
  3. Step 3: Cross multiply
    174.39x = 242.24 × 172.72
  4. Step 4: Simplify right side
    174.39x = 41,839.69
  5. Step 5: Solve for x
    x = 41,839.69/174.39
  6. Step 6: Final answer
    x = 239.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.