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Finding the Fourth Proportional to 176.17, 264.66 and 137.71

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Solution

The fourth proportional to 176.17, 264.66 and 137.71 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.17 : 264.66 = 137.71 : x
  2. Step 2: Convert to fraction form
    176.17/264.66 = 137.71/x
  3. Step 3: Cross multiply
    176.17x = 264.66 × 137.71
  4. Step 4: Simplify right side
    176.17x = 36,446.33
  5. Step 5: Solve for x
    x = 36,446.33/176.17
  6. Step 6: Final answer
    x = 206.88

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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.