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Finding the Fourth Proportional to 158.29, 237.33 and 97.34

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Solution

The fourth proportional to 158.29, 237.33 and 97.34 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.29 : 237.33 = 97.34 : x
  2. Step 2: Convert to fraction form
    158.29/237.33 = 97.34/x
  3. Step 3: Cross multiply
    158.29x = 237.33 × 97.34
  4. Step 4: Simplify right side
    158.29x = 23,100.52
  5. Step 5: Solve for x
    x = 23,100.52/158.29
  6. Step 6: Final answer
    x = 145.94

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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.