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Finding the Fourth Proportional to 175.92, 264.08 and 137.71

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Solution

The fourth proportional to 175.92, 264.08 and 137.71 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.92 : 264.08 = 137.71 : x
  2. Step 2: Convert to fraction form
    175.92/264.08 = 137.71/x
  3. Step 3: Cross multiply
    175.92x = 264.08 × 137.71
  4. Step 4: Simplify right side
    175.92x = 36,366.46
  5. Step 5: Solve for x
    x = 36,366.46/175.92
  6. Step 6: Final answer
    x = 206.72

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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.