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Finding the Fourth Proportional to 169.14, 233.07 and 134.10

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Solution

The fourth proportional to 169.14, 233.07 and 134.10 is: 184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.14 : 233.07 = 134.10 : x
  2. Step 2: Convert to fraction form
    169.14/233.07 = 134.10/x
  3. Step 3: Cross multiply
    169.14x = 233.07 × 134.10
  4. Step 4: Simplify right side
    169.14x = 31,254.69
  5. Step 5: Solve for x
    x = 31,254.69/169.14
  6. Step 6: Final answer
    x = 184.79

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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.