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Finding the Fourth Proportional to 232.47, 348.30 and 189.14

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Solution

The fourth proportional to 232.47, 348.30 and 189.14 is: 283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 348.30 = 189.14 : x
  2. Step 2: Convert to fraction form
    232.47/348.30 = 189.14/x
  3. Step 3: Cross multiply
    232.47x = 348.30 × 189.14
  4. Step 4: Simplify right side
    232.47x = 65,875.72
  5. Step 5: Solve for x
    x = 65,875.72/232.47
  6. Step 6: Final answer
    x = 283.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.