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Finding the Fourth Proportional to 158.89, 238.22 and 49.16

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Solution

The fourth proportional to 158.89, 238.22 and 49.16 is: 73.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.89 : 238.22 = 49.16 : x
  2. Step 2: Convert to fraction form
    158.89/238.22 = 49.16/x
  3. Step 3: Cross multiply
    158.89x = 238.22 × 49.16
  4. Step 4: Simplify right side
    158.89x = 11,712.24
  5. Step 5: Solve for x
    x = 11,712.24/158.89
  6. Step 6: Final answer
    x = 73.71

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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.