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Finding the Fourth Proportional to 293.76, 439.14 and 232.20

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Solution

The fourth proportional to 293.76, 439.14 and 232.20 is: 347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 439.14 = 232.20 : x
  2. Step 2: Convert to fraction form
    293.76/439.14 = 232.20/x
  3. Step 3: Cross multiply
    293.76x = 439.14 × 232.20
  4. Step 4: Simplify right side
    293.76x = 101,968.31
  5. Step 5: Solve for x
    x = 101,968.31/293.76
  6. Step 6: Final answer
    x = 347.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.