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Finding the Fourth Proportional to 158.22, 237.24 and 97.26

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Solution

The fourth proportional to 158.22, 237.24 and 97.26 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.22 : 237.24 = 97.26 : x
  2. Step 2: Convert to fraction form
    158.22/237.24 = 97.26/x
  3. Step 3: Cross multiply
    158.22x = 237.24 × 97.26
  4. Step 4: Simplify right side
    158.22x = 23,073.96
  5. Step 5: Solve for x
    x = 23,073.96/158.22
  6. Step 6: Final answer
    x = 145.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.