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Finding the Fourth Proportional to 234.24, 349.92 and 222.40

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Solution

The fourth proportional to 234.24, 349.92 and 222.40 is: 332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.24 : 349.92 = 222.40 : x
  2. Step 2: Convert to fraction form
    234.24/349.92 = 222.40/x
  3. Step 3: Cross multiply
    234.24x = 349.92 × 222.40
  4. Step 4: Simplify right side
    234.24x = 77,822.21
  5. Step 5: Solve for x
    x = 77,822.21/234.24
  6. Step 6: Final answer
    x = 332.23

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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.