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Finding the Fourth Proportional to 149.32, 206.30 and 116.24

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Solution

The fourth proportional to 149.32, 206.30 and 116.24 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.32 : 206.30 = 116.24 : x
  2. Step 2: Convert to fraction form
    149.32/206.30 = 116.24/x
  3. Step 3: Cross multiply
    149.32x = 206.30 × 116.24
  4. Step 4: Simplify right side
    149.32x = 23,981.12
  5. Step 5: Solve for x
    x = 23,981.12/149.32
  6. Step 6: Final answer
    x = 160.60

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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.