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Finding the Fourth Proportional to 229.63, 316.69 and 142.15

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Solution

The fourth proportional to 229.63, 316.69 and 142.15 is: 196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.63 : 316.69 = 142.15 : x
  2. Step 2: Convert to fraction form
    229.63/316.69 = 142.15/x
  3. Step 3: Cross multiply
    229.63x = 316.69 × 142.15
  4. Step 4: Simplify right side
    229.63x = 45,015.19
  5. Step 5: Solve for x
    x = 45,015.19/229.63
  6. Step 6: Final answer
    x = 196.04

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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.