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Finding the Fourth Proportional to 169.02, 233.48 and 134.28

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Solution

The fourth proportional to 169.02, 233.48 and 134.28 is: 185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.02 : 233.48 = 134.28 : x
  2. Step 2: Convert to fraction form
    169.02/233.48 = 134.28/x
  3. Step 3: Cross multiply
    169.02x = 233.48 × 134.28
  4. Step 4: Simplify right side
    169.02x = 31,351.69
  5. Step 5: Solve for x
    x = 31,351.69/169.02
  6. Step 6: Final answer
    x = 185.49

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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.