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Finding the Fourth Proportional to 149.72, 206.19 and 146.66

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Solution

The fourth proportional to 149.72, 206.19 and 146.66 is: 201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.72 : 206.19 = 146.66 : x
  2. Step 2: Convert to fraction form
    149.72/206.19 = 146.66/x
  3. Step 3: Cross multiply
    149.72x = 206.19 × 146.66
  4. Step 4: Simplify right side
    149.72x = 30,239.83
  5. Step 5: Solve for x
    x = 30,239.83/149.72
  6. Step 6: Final answer
    x = 201.98

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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.