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Finding the Fourth Proportional to 149.61, 206.21 and 112.76

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Solution

The fourth proportional to 149.61, 206.21 and 112.76 is: 155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.61 : 206.21 = 112.76 : x
  2. Step 2: Convert to fraction form
    149.61/206.21 = 112.76/x
  3. Step 3: Cross multiply
    149.61x = 206.21 × 112.76
  4. Step 4: Simplify right side
    149.61x = 23,250.64
  5. Step 5: Solve for x
    x = 23,250.64/149.61
  6. Step 6: Final answer
    x = 155.41

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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.