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Finding the Fourth Proportional to 150.66, 207.83 and 113.72

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Solution

The fourth proportional to 150.66, 207.83 and 113.72 is: 156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.66 : 207.83 = 113.72 : x
  2. Step 2: Convert to fraction form
    150.66/207.83 = 113.72/x
  3. Step 3: Cross multiply
    150.66x = 207.83 × 113.72
  4. Step 4: Simplify right side
    150.66x = 23,633.67
  5. Step 5: Solve for x
    x = 23,633.67/150.66
  6. Step 6: Final answer
    x = 156.87

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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.