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Finding the Fourth Proportional to 157.76, 217.27 and 149.92

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Solution

The fourth proportional to 157.76, 217.27 and 149.92 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.76 : 217.27 = 149.92 : x
  2. Step 2: Convert to fraction form
    157.76/217.27 = 149.92/x
  3. Step 3: Cross multiply
    157.76x = 217.27 × 149.92
  4. Step 4: Simplify right side
    157.76x = 32,573.12
  5. Step 5: Solve for x
    x = 32,573.12/157.76
  6. Step 6: Final answer
    x = 206.47

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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.