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Finding the Fourth Proportional to 166.19, 229.19 and 130.75

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Solution

The fourth proportional to 166.19, 229.19 and 130.75 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.19 : 229.19 = 130.75 : x
  2. Step 2: Convert to fraction form
    166.19/229.19 = 130.75/x
  3. Step 3: Cross multiply
    166.19x = 229.19 × 130.75
  4. Step 4: Simplify right side
    166.19x = 29,966.65
  5. Step 5: Solve for x
    x = 29,966.65/166.19
  6. Step 6: Final answer
    x = 180.32

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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.