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Finding the Fourth Proportional to 229.43, 316.64 and 142.11

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Solution

The fourth proportional to 229.43, 316.64 and 142.11 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.43 : 316.64 = 142.11 : x
  2. Step 2: Convert to fraction form
    229.43/316.64 = 142.11/x
  3. Step 3: Cross multiply
    229.43x = 316.64 × 142.11
  4. Step 4: Simplify right side
    229.43x = 44,998.07
  5. Step 5: Solve for x
    x = 44,998.07/229.43
  6. Step 6: Final answer
    x = 196.13

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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.