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Finding the Fourth Proportional to 247.41, 341.45 and 205.89

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Solution

The fourth proportional to 247.41, 341.45 and 205.89 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.41 : 341.45 = 205.89 : x
  2. Step 2: Convert to fraction form
    247.41/341.45 = 205.89/x
  3. Step 3: Cross multiply
    247.41x = 341.45 × 205.89
  4. Step 4: Simplify right side
    247.41x = 70,301.14
  5. Step 5: Solve for x
    x = 70,301.14/247.41
  6. Step 6: Final answer
    x = 284.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.