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Finding the Fourth Proportional to 171.05, 257.51 and 117.29

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Solution

The fourth proportional to 171.05, 257.51 and 117.29 is: 176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.05 : 257.51 = 117.29 : x
  2. Step 2: Convert to fraction form
    171.05/257.51 = 117.29/x
  3. Step 3: Cross multiply
    171.05x = 257.51 × 117.29
  4. Step 4: Simplify right side
    171.05x = 30,204.28
  5. Step 5: Solve for x
    x = 30,204.28/171.05
  6. Step 6: Final answer
    x = 176.59

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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.