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Finding the Fourth Proportional to 268.40, 400.78 and 232.40

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Solution

The fourth proportional to 268.40, 400.78 and 232.40 is: 347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.40 : 400.78 = 232.40 : x
  2. Step 2: Convert to fraction form
    268.40/400.78 = 232.40/x
  3. Step 3: Cross multiply
    268.40x = 400.78 × 232.40
  4. Step 4: Simplify right side
    268.40x = 93,141.27
  5. Step 5: Solve for x
    x = 93,141.27/268.40
  6. Step 6: Final answer
    x = 347.02

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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.