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Finding the Fourth Proportional to 229.23, 316.32 and 141.90

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Solution

The fourth proportional to 229.23, 316.32 and 141.90 is: 195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.23 : 316.32 = 141.90 : x
  2. Step 2: Convert to fraction form
    229.23/316.32 = 141.90/x
  3. Step 3: Cross multiply
    229.23x = 316.32 × 141.90
  4. Step 4: Simplify right side
    229.23x = 44,885.81
  5. Step 5: Solve for x
    x = 44,885.81/229.23
  6. Step 6: Final answer
    x = 195.81

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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.