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Finding the Fourth Proportional to 224.98, 337.44 and 78.66

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Solution

The fourth proportional to 224.98, 337.44 and 78.66 is: 117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.98 : 337.44 = 78.66 : x
  2. Step 2: Convert to fraction form
    224.98/337.44 = 78.66/x
  3. Step 3: Cross multiply
    224.98x = 337.44 × 78.66
  4. Step 4: Simplify right side
    224.98x = 26,543.33
  5. Step 5: Solve for x
    x = 26,543.33/224.98
  6. Step 6: Final answer
    x = 117.98

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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.