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Finding the Fourth Proportional to 268.34, 400.24 and 244.94

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Solution

The fourth proportional to 268.34, 400.24 and 244.94 is: 365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.34 : 400.24 = 244.94 : x
  2. Step 2: Convert to fraction form
    268.34/400.24 = 244.94/x
  3. Step 3: Cross multiply
    268.34x = 400.24 × 244.94
  4. Step 4: Simplify right side
    268.34x = 98,034.79
  5. Step 5: Solve for x
    x = 98,034.79/268.34
  6. Step 6: Final answer
    x = 365.34

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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.