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Finding the Fourth Proportional to 148.08, 222.16 and 116.16

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Solution

The fourth proportional to 148.08, 222.16 and 116.16 is: 174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.08 : 222.16 = 116.16 : x
  2. Step 2: Convert to fraction form
    148.08/222.16 = 116.16/x
  3. Step 3: Cross multiply
    148.08x = 222.16 × 116.16
  4. Step 4: Simplify right side
    148.08x = 25,806.11
  5. Step 5: Solve for x
    x = 25,806.11/148.08
  6. Step 6: Final answer
    x = 174.27

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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.