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Finding the Fourth Proportional to 149.56, 223.98 and 146.92

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Solution

The fourth proportional to 149.56, 223.98 and 146.92 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.56 : 223.98 = 146.92 : x
  2. Step 2: Convert to fraction form
    149.56/223.98 = 146.92/x
  3. Step 3: Cross multiply
    149.56x = 223.98 × 146.92
  4. Step 4: Simplify right side
    149.56x = 32,907.14
  5. Step 5: Solve for x
    x = 32,907.14/149.56
  6. Step 6: Final answer
    x = 220.03

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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.