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Finding the Fourth Proportional to 149.50, 206.40 and 110.62

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Solution

The fourth proportional to 149.50, 206.40 and 110.62 is: 152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 206.40 = 110.62 : x
  2. Step 2: Convert to fraction form
    149.50/206.40 = 110.62/x
  3. Step 3: Cross multiply
    149.50x = 206.40 × 110.62
  4. Step 4: Simplify right side
    149.50x = 22,831.97
  5. Step 5: Solve for x
    x = 22,831.97/149.50
  6. Step 6: Final answer
    x = 152.72

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