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Finding the Fourth Proportional to 171.69, 237.02 and 130.27

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Solution

The fourth proportional to 171.69, 237.02 and 130.27 is: 179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.69 : 237.02 = 130.27 : x
  2. Step 2: Convert to fraction form
    171.69/237.02 = 130.27/x
  3. Step 3: Cross multiply
    171.69x = 237.02 × 130.27
  4. Step 4: Simplify right side
    171.69x = 30,875.35
  5. Step 5: Solve for x
    x = 30,875.35/171.69
  6. Step 6: Final answer
    x = 179.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.