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Finding the Fourth Proportional to 169.35, 253.78 and 117.91

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Solution

The fourth proportional to 169.35, 253.78 and 117.91 is: 176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.35 : 253.78 = 117.91 : x
  2. Step 2: Convert to fraction form
    169.35/253.78 = 117.91/x
  3. Step 3: Cross multiply
    169.35x = 253.78 × 117.91
  4. Step 4: Simplify right side
    169.35x = 29,923.20
  5. Step 5: Solve for x
    x = 29,923.20/169.35
  6. Step 6: Final answer
    x = 176.69

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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.