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Finding the Fourth Proportional to 149.50, 206.33 and 87.31

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Solution

The fourth proportional to 149.50, 206.33 and 87.31 is: 120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 206.33 = 87.31 : x
  2. Step 2: Convert to fraction form
    149.50/206.33 = 87.31/x
  3. Step 3: Cross multiply
    149.50x = 206.33 × 87.31
  4. Step 4: Simplify right side
    149.50x = 18,014.67
  5. Step 5: Solve for x
    x = 18,014.67/149.50
  6. Step 6: Final answer
    x = 120.50

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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.