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Finding the Fourth Proportional to 229.80, 316.50 and 177.96

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Solution

The fourth proportional to 229.80, 316.50 and 177.96 is: 245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 316.50 = 177.96 : x
  2. Step 2: Convert to fraction form
    229.80/316.50 = 177.96/x
  3. Step 3: Cross multiply
    229.80x = 316.50 × 177.96
  4. Step 4: Simplify right side
    229.80x = 56,324.34
  5. Step 5: Solve for x
    x = 56,324.34/229.80
  6. Step 6: Final answer
    x = 245.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.