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Finding the Fourth Proportional to 169.52, 252.83 and 156.76

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Solution

The fourth proportional to 169.52, 252.83 and 156.76 is: 233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.52 : 252.83 = 156.76 : x
  2. Step 2: Convert to fraction form
    169.52/252.83 = 156.76/x
  3. Step 3: Cross multiply
    169.52x = 252.83 × 156.76
  4. Step 4: Simplify right side
    169.52x = 39,633.39
  5. Step 5: Solve for x
    x = 39,633.39/169.52
  6. Step 6: Final answer
    x = 233.80

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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.