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Finding the Fourth Proportional to 169.65, 254.61 and 115.70

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Solution

The fourth proportional to 169.65, 254.61 and 115.70 is: 173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.65 : 254.61 = 115.70 : x
  2. Step 2: Convert to fraction form
    169.65/254.61 = 115.70/x
  3. Step 3: Cross multiply
    169.65x = 254.61 × 115.70
  4. Step 4: Simplify right side
    169.65x = 29,457.10
  5. Step 5: Solve for x
    x = 29,457.10/169.65
  6. Step 6: Final answer
    x = 173.63

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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.