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Finding the Fourth Proportional to 169.50, 233.78 and 114.22

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Solution

The fourth proportional to 169.50, 233.78 and 114.22 is: 157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.50 : 233.78 = 114.22 : x
  2. Step 2: Convert to fraction form
    169.50/233.78 = 114.22/x
  3. Step 3: Cross multiply
    169.50x = 233.78 × 114.22
  4. Step 4: Simplify right side
    169.50x = 26,702.35
  5. Step 5: Solve for x
    x = 26,702.35/169.50
  6. Step 6: Final answer
    x = 157.54

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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.