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Finding the Fourth Proportional to 171.07, 257.71 and 162.58

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Solution

The fourth proportional to 171.07, 257.71 and 162.58 is: 244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.07 : 257.71 = 162.58 : x
  2. Step 2: Convert to fraction form
    171.07/257.71 = 162.58/x
  3. Step 3: Cross multiply
    171.07x = 257.71 × 162.58
  4. Step 4: Simplify right side
    171.07x = 41,898.49
  5. Step 5: Solve for x
    x = 41,898.49/171.07
  6. Step 6: Final answer
    x = 244.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.