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Finding the Fourth Proportional to 229.72, 316.70 and 177.88

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Solution

The fourth proportional to 229.72, 316.70 and 177.88 is: 245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.72 : 316.70 = 177.88 : x
  2. Step 2: Convert to fraction form
    229.72/316.70 = 177.88/x
  3. Step 3: Cross multiply
    229.72x = 316.70 × 177.88
  4. Step 4: Simplify right side
    229.72x = 56,334.60
  5. Step 5: Solve for x
    x = 56,334.60/229.72
  6. Step 6: Final answer
    x = 245.23

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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.