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Finding the Fourth Proportional to 175.92, 264.16 and 137.49

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Solution

The fourth proportional to 175.92, 264.16 and 137.49 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.92 : 264.16 = 137.49 : x
  2. Step 2: Convert to fraction form
    175.92/264.16 = 137.49/x
  3. Step 3: Cross multiply
    175.92x = 264.16 × 137.49
  4. Step 4: Simplify right side
    175.92x = 36,318.67
  5. Step 5: Solve for x
    x = 36,318.67/175.92
  6. Step 6: Final answer
    x = 206.46

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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.