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Finding the Fourth Proportional to 229.46, 316.05 and 212.15

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Solution

The fourth proportional to 229.46, 316.05 and 212.15 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.46 : 316.05 = 212.15 : x
  2. Step 2: Convert to fraction form
    229.46/316.05 = 212.15/x
  3. Step 3: Cross multiply
    229.46x = 316.05 × 212.15
  4. Step 4: Simplify right side
    229.46x = 67,050.01
  5. Step 5: Solve for x
    x = 67,050.01/229.46
  6. Step 6: Final answer
    x = 292.21

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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.