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Finding the Fourth Proportional to 232.47, 349.92 and 210.13

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Solution

The fourth proportional to 232.47, 349.92 and 210.13 is: 316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 349.92 = 210.13 : x
  2. Step 2: Convert to fraction form
    232.47/349.92 = 210.13/x
  3. Step 3: Cross multiply
    232.47x = 349.92 × 210.13
  4. Step 4: Simplify right side
    232.47x = 73,527.81
  5. Step 5: Solve for x
    x = 73,527.81/232.47
  6. Step 6: Final answer
    x = 316.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.