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Finding the Fourth Proportional to 247.34, 341.37 and 205.83

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Solution

The fourth proportional to 247.34, 341.37 and 205.83 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.34 : 341.37 = 205.83 : x
  2. Step 2: Convert to fraction form
    247.34/341.37 = 205.83/x
  3. Step 3: Cross multiply
    247.34x = 341.37 × 205.83
  4. Step 4: Simplify right side
    247.34x = 70,264.19
  5. Step 5: Solve for x
    x = 70,264.19/247.34
  6. Step 6: Final answer
    x = 284.08

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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.