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Finding the Fourth Proportional to 229.80, 344.75 and 90.93

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Solution

The fourth proportional to 229.80, 344.75 and 90.93 is: 136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 344.75 = 90.93 : x
  2. Step 2: Convert to fraction form
    229.80/344.75 = 90.93/x
  3. Step 3: Cross multiply
    229.80x = 344.75 × 90.93
  4. Step 4: Simplify right side
    229.80x = 31,348.12
  5. Step 5: Solve for x
    x = 31,348.12/229.80
  6. Step 6: Final answer
    x = 136.41

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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.