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Finding the Fourth Proportional to 229.64, 316.32 and 167.30

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Solution

The fourth proportional to 229.64, 316.32 and 167.30 is: 230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.64 : 316.32 = 167.30 : x
  2. Step 2: Convert to fraction form
    229.64/316.32 = 167.30/x
  3. Step 3: Cross multiply
    229.64x = 316.32 × 167.30
  4. Step 4: Simplify right side
    229.64x = 52,920.34
  5. Step 5: Solve for x
    x = 52,920.34/229.64
  6. Step 6: Final answer
    x = 230.45

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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.