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Finding the Fourth Proportional to 149.58, 224.27 and 103.95

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Solution

The fourth proportional to 149.58, 224.27 and 103.95 is: 155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.58 : 224.27 = 103.95 : x
  2. Step 2: Convert to fraction form
    149.58/224.27 = 103.95/x
  3. Step 3: Cross multiply
    149.58x = 224.27 × 103.95
  4. Step 4: Simplify right side
    149.58x = 23,312.35
  5. Step 5: Solve for x
    x = 23,312.35/149.58
  6. Step 6: Final answer
    x = 155.85

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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.