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Finding the Fourth Proportional to 169.36, 233.04 and 151.52

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Solution

The fourth proportional to 169.36, 233.04 and 151.52 is: 208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.36 : 233.04 = 151.52 : x
  2. Step 2: Convert to fraction form
    169.36/233.04 = 151.52/x
  3. Step 3: Cross multiply
    169.36x = 233.04 × 151.52
  4. Step 4: Simplify right side
    169.36x = 35,310.22
  5. Step 5: Solve for x
    x = 35,310.22/169.36
  6. Step 6: Final answer
    x = 208.49

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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.