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Finding the Fourth Proportional to 149.86, 206.58 and 120.30

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Solution

The fourth proportional to 149.86, 206.58 and 120.30 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.86 : 206.58 = 120.30 : x
  2. Step 2: Convert to fraction form
    149.86/206.58 = 120.30/x
  3. Step 3: Cross multiply
    149.86x = 206.58 × 120.30
  4. Step 4: Simplify right side
    149.86x = 24,851.57
  5. Step 5: Solve for x
    x = 24,851.57/149.86
  6. Step 6: Final answer
    x = 165.83

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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.