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Finding the Fourth Proportional to 149.74, 206.65 and 84.24

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Solution

The fourth proportional to 149.74, 206.65 and 84.24 is: 116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.74 : 206.65 = 84.24 : x
  2. Step 2: Convert to fraction form
    149.74/206.65 = 84.24/x
  3. Step 3: Cross multiply
    149.74x = 206.65 × 84.24
  4. Step 4: Simplify right side
    149.74x = 17,408.20
  5. Step 5: Solve for x
    x = 17,408.20/149.74
  6. Step 6: Final answer
    x = 116.26

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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.