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Finding the Fourth Proportional to 229.44, 316.70 and 194.66

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Solution

The fourth proportional to 229.44, 316.70 and 194.66 is: 268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.44 : 316.70 = 194.66 : x
  2. Step 2: Convert to fraction form
    229.44/316.70 = 194.66/x
  3. Step 3: Cross multiply
    229.44x = 316.70 × 194.66
  4. Step 4: Simplify right side
    229.44x = 61,648.82
  5. Step 5: Solve for x
    x = 61,648.82/229.44
  6. Step 6: Final answer
    x = 268.69

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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.