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Finding the Fourth Proportional to 169.36, 233.84 and 160.24

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Solution

The fourth proportional to 169.36, 233.84 and 160.24 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.36 : 233.84 = 160.24 : x
  2. Step 2: Convert to fraction form
    169.36/233.84 = 160.24/x
  3. Step 3: Cross multiply
    169.36x = 233.84 × 160.24
  4. Step 4: Simplify right side
    169.36x = 37,470.52
  5. Step 5: Solve for x
    x = 37,470.52/169.36
  6. Step 6: Final answer
    x = 221.25

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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.