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Finding the Fourth Proportional to 152.03, 209.25 and 132.59

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Solution

The fourth proportional to 152.03, 209.25 and 132.59 is: 182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.03 : 209.25 = 132.59 : x
  2. Step 2: Convert to fraction form
    152.03/209.25 = 132.59/x
  3. Step 3: Cross multiply
    152.03x = 209.25 × 132.59
  4. Step 4: Simplify right side
    152.03x = 27,743.41
  5. Step 5: Solve for x
    x = 27,743.41/152.03
  6. Step 6: Final answer
    x = 182.49

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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.