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Finding the Fourth Proportional to 149.10, 223.69 and 146.66

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Solution

The fourth proportional to 149.10, 223.69 and 146.66 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.10 : 223.69 = 146.66 : x
  2. Step 2: Convert to fraction form
    149.10/223.69 = 146.66/x
  3. Step 3: Cross multiply
    149.10x = 223.69 × 146.66
  4. Step 4: Simplify right side
    149.10x = 32,805.26
  5. Step 5: Solve for x
    x = 32,805.26/149.10
  6. Step 6: Final answer
    x = 220.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.