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Finding the Fourth Proportional to 247.70, 341.98 and 224.32

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Solution

The fourth proportional to 247.70, 341.98 and 224.32 is: 309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.70 : 341.98 = 224.32 : x
  2. Step 2: Convert to fraction form
    247.70/341.98 = 224.32/x
  3. Step 3: Cross multiply
    247.70x = 341.98 × 224.32
  4. Step 4: Simplify right side
    247.70x = 76,712.95
  5. Step 5: Solve for x
    x = 76,712.95/247.70
  6. Step 6: Final answer
    x = 309.70

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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.