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Finding the Fourth Proportional to 232.19, 319.61 and 229.63

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Solution

The fourth proportional to 232.19, 319.61 and 229.63 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.19 : 319.61 = 229.63 : x
  2. Step 2: Convert to fraction form
    232.19/319.61 = 229.63/x
  3. Step 3: Cross multiply
    232.19x = 319.61 × 229.63
  4. Step 4: Simplify right side
    232.19x = 73,390.10
  5. Step 5: Solve for x
    x = 73,390.10/232.19
  6. Step 6: Final answer
    x = 316.07

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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.