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Finding the Fourth Proportional to 229.75, 316.88 and 159.81

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Solution

The fourth proportional to 229.75, 316.88 and 159.81 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.75 : 316.88 = 159.81 : x
  2. Step 2: Convert to fraction form
    229.75/316.88 = 159.81/x
  3. Step 3: Cross multiply
    229.75x = 316.88 × 159.81
  4. Step 4: Simplify right side
    229.75x = 50,638.21
  5. Step 5: Solve for x
    x = 50,638.21/229.75
  6. Step 6: Final answer
    x = 220.41

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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.