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Finding the Fourth Proportional to 171.64, 257.01 and 137.17

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Solution

The fourth proportional to 171.64, 257.01 and 137.17 is: 205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.64 : 257.01 = 137.17 : x
  2. Step 2: Convert to fraction form
    171.64/257.01 = 137.17/x
  3. Step 3: Cross multiply
    171.64x = 257.01 × 137.17
  4. Step 4: Simplify right side
    171.64x = 35,254.06
  5. Step 5: Solve for x
    x = 35,254.06/171.64
  6. Step 6: Final answer
    x = 205.40

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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.