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Finding the Fourth Proportional to 169.14, 233.45 and 134.45

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Solution

The fourth proportional to 169.14, 233.45 and 134.45 is: 185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.14 : 233.45 = 134.45 : x
  2. Step 2: Convert to fraction form
    169.14/233.45 = 134.45/x
  3. Step 3: Cross multiply
    169.14x = 233.45 × 134.45
  4. Step 4: Simplify right side
    169.14x = 31,387.35
  5. Step 5: Solve for x
    x = 31,387.35/169.14
  6. Step 6: Final answer
    x = 185.57

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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.