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Finding the Fourth Proportional to 150.77, 207.97 and 113.46

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Solution

The fourth proportional to 150.77, 207.97 and 113.46 is: 156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.77 : 207.97 = 113.46 : x
  2. Step 2: Convert to fraction form
    150.77/207.97 = 113.46/x
  3. Step 3: Cross multiply
    150.77x = 207.97 × 113.46
  4. Step 4: Simplify right side
    150.77x = 23,595.71
  5. Step 5: Solve for x
    x = 23,595.71/150.77
  6. Step 6: Final answer
    x = 156.51

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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.