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Finding the Fourth Proportional to 229.36, 344.08 and 99.44

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Solution

The fourth proportional to 229.36, 344.08 and 99.44 is: 149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.36 : 344.08 = 99.44 : x
  2. Step 2: Convert to fraction form
    229.36/344.08 = 99.44/x
  3. Step 3: Cross multiply
    229.36x = 344.08 × 99.44
  4. Step 4: Simplify right side
    229.36x = 34,215.32
  5. Step 5: Solve for x
    x = 34,215.32/229.36
  6. Step 6: Final answer
    x = 149.18

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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.