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Finding the Fourth Proportional to 149.76, 206.76 and 120.18

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Solution

The fourth proportional to 149.76, 206.76 and 120.18 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 206.76 = 120.18 : x
  2. Step 2: Convert to fraction form
    149.76/206.76 = 120.18/x
  3. Step 3: Cross multiply
    149.76x = 206.76 × 120.18
  4. Step 4: Simplify right side
    149.76x = 24,848.42
  5. Step 5: Solve for x
    x = 24,848.42/149.76
  6. Step 6: Final answer
    x = 165.92

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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.