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Finding the Fourth Proportional to 151.15, 206.43 and 149.53

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Solution

The fourth proportional to 151.15, 206.43 and 149.53 is: 204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.15 : 206.43 = 149.53 : x
  2. Step 2: Convert to fraction form
    151.15/206.43 = 149.53/x
  3. Step 3: Cross multiply
    151.15x = 206.43 × 149.53
  4. Step 4: Simplify right side
    151.15x = 30,866.73
  5. Step 5: Solve for x
    x = 30,866.73/151.15
  6. Step 6: Final answer
    x = 204.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.