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Finding the Fourth Proportional to 150.58, 207.87 and 113.75

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Solution

The fourth proportional to 150.58, 207.87 and 113.75 is: 157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.58 : 207.87 = 113.75 : x
  2. Step 2: Convert to fraction form
    150.58/207.87 = 113.75/x
  3. Step 3: Cross multiply
    150.58x = 207.87 × 113.75
  4. Step 4: Simplify right side
    150.58x = 23,645.21
  5. Step 5: Solve for x
    x = 23,645.21/150.58
  6. Step 6: Final answer
    x = 157.03

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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.