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Finding the Fourth Proportional to 171.47, 256.63 and 137.07

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Solution

The fourth proportional to 171.47, 256.63 and 137.07 is: 205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.47 : 256.63 = 137.07 : x
  2. Step 2: Convert to fraction form
    171.47/256.63 = 137.07/x
  3. Step 3: Cross multiply
    171.47x = 256.63 × 137.07
  4. Step 4: Simplify right side
    171.47x = 35,176.67
  5. Step 5: Solve for x
    x = 35,176.67/171.47
  6. Step 6: Final answer
    x = 205.15

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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.