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Finding the Fourth Proportional to 174.71, 242.75 and 172.53

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Solution

The fourth proportional to 174.71, 242.75 and 172.53 is: 239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 242.75 = 172.53 : x
  2. Step 2: Convert to fraction form
    174.71/242.75 = 172.53/x
  3. Step 3: Cross multiply
    174.71x = 242.75 × 172.53
  4. Step 4: Simplify right side
    174.71x = 41,881.66
  5. Step 5: Solve for x
    x = 41,881.66/174.71
  6. Step 6: Final answer
    x = 239.72

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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.