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Finding the Fourth Proportional to 149.28, 223.88 and 51.78

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Solution

The fourth proportional to 149.28, 223.88 and 51.78 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.28 : 223.88 = 51.78 : x
  2. Step 2: Convert to fraction form
    149.28/223.88 = 51.78/x
  3. Step 3: Cross multiply
    149.28x = 223.88 × 51.78
  4. Step 4: Simplify right side
    149.28x = 11,592.51
  5. Step 5: Solve for x
    x = 11,592.51/149.28
  6. Step 6: Final answer
    x = 77.66

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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.