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Finding the Fourth Proportional to 148.29, 222.16 and 76.20

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Solution

The fourth proportional to 148.29, 222.16 and 76.20 is: 114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.29 : 222.16 = 76.20 : x
  2. Step 2: Convert to fraction form
    148.29/222.16 = 76.20/x
  3. Step 3: Cross multiply
    148.29x = 222.16 × 76.20
  4. Step 4: Simplify right side
    148.29x = 16,928.59
  5. Step 5: Solve for x
    x = 16,928.59/148.29
  6. Step 6: Final answer
    x = 114.16

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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.