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Finding the Fourth Proportional to 171.92, 257.64 and 137.76

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Solution

The fourth proportional to 171.92, 257.64 and 137.76 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.92 : 257.64 = 137.76 : x
  2. Step 2: Convert to fraction form
    171.92/257.64 = 137.76/x
  3. Step 3: Cross multiply
    171.92x = 257.64 × 137.76
  4. Step 4: Simplify right side
    171.92x = 35,492.49
  5. Step 5: Solve for x
    x = 35,492.49/171.92
  6. Step 6: Final answer
    x = 206.45

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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.