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Finding the Fourth Proportional to 150.51, 206.87 and 132.92

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Solution

The fourth proportional to 150.51, 206.87 and 132.92 is: 182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.51 : 206.87 = 132.92 : x
  2. Step 2: Convert to fraction form
    150.51/206.87 = 132.92/x
  3. Step 3: Cross multiply
    150.51x = 206.87 × 132.92
  4. Step 4: Simplify right side
    150.51x = 27,496.24
  5. Step 5: Solve for x
    x = 27,496.24/150.51
  6. Step 6: Final answer
    x = 182.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.