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Finding the Fourth Proportional to 268.32, 400.36 and 234.04

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Solution

The fourth proportional to 268.32, 400.36 and 234.04 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.32 : 400.36 = 234.04 : x
  2. Step 2: Convert to fraction form
    268.32/400.36 = 234.04/x
  3. Step 3: Cross multiply
    268.32x = 400.36 × 234.04
  4. Step 4: Simplify right side
    268.32x = 93,700.25
  5. Step 5: Solve for x
    x = 93,700.25/268.32
  6. Step 6: Final answer
    x = 349.21

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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.