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Finding the Fourth Proportional to 169.40, 252.65 and 152.12

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Solution

The fourth proportional to 169.40, 252.65 and 152.12 is: 226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.40 : 252.65 = 152.12 : x
  2. Step 2: Convert to fraction form
    169.40/252.65 = 152.12/x
  3. Step 3: Cross multiply
    169.40x = 252.65 × 152.12
  4. Step 4: Simplify right side
    169.40x = 38,433.12
  5. Step 5: Solve for x
    x = 38,433.12/169.40
  6. Step 6: Final answer
    x = 226.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.