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Finding the Fourth Proportional to 263.52, 393.21 and 234.14

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Solution

The fourth proportional to 263.52, 393.21 and 234.14 is: 349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.52 : 393.21 = 234.14 : x
  2. Step 2: Convert to fraction form
    263.52/393.21 = 234.14/x
  3. Step 3: Cross multiply
    263.52x = 393.21 × 234.14
  4. Step 4: Simplify right side
    263.52x = 92,064.22
  5. Step 5: Solve for x
    x = 92,064.22/263.52
  6. Step 6: Final answer
    x = 349.36

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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.