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Finding the Fourth Proportional to 148.80, 205.38 and 116.04

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Solution

The fourth proportional to 148.80, 205.38 and 116.04 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.80 : 205.38 = 116.04 : x
  2. Step 2: Convert to fraction form
    148.80/205.38 = 116.04/x
  3. Step 3: Cross multiply
    148.80x = 205.38 × 116.04
  4. Step 4: Simplify right side
    148.80x = 23,832.30
  5. Step 5: Solve for x
    x = 23,832.30/148.80
  6. Step 6: Final answer
    x = 160.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.