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Finding the Fourth Proportional to 169.16, 253.49 and 128.61

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Solution

The fourth proportional to 169.16, 253.49 and 128.61 is: 192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 253.49 = 128.61 : x
  2. Step 2: Convert to fraction form
    169.16/253.49 = 128.61/x
  3. Step 3: Cross multiply
    169.16x = 253.49 × 128.61
  4. Step 4: Simplify right side
    169.16x = 32,600.71
  5. Step 5: Solve for x
    x = 32,600.71/169.16
  6. Step 6: Final answer
    x = 192.73

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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.