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Finding the Fourth Proportional to 224.95, 310.49 and 136.43

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Solution

The fourth proportional to 224.95, 310.49 and 136.43 is: 188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.95 : 310.49 = 136.43 : x
  2. Step 2: Convert to fraction form
    224.95/310.49 = 136.43/x
  3. Step 3: Cross multiply
    224.95x = 310.49 × 136.43
  4. Step 4: Simplify right side
    224.95x = 42,360.15
  5. Step 5: Solve for x
    x = 42,360.15/224.95
  6. Step 6: Final answer
    x = 188.31

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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.