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Finding the Fourth Proportional to 247.34, 341.16 and 143.84

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Solution

The fourth proportional to 247.34, 341.16 and 143.84 is: 198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.34 : 341.16 = 143.84 : x
  2. Step 2: Convert to fraction form
    247.34/341.16 = 143.84/x
  3. Step 3: Cross multiply
    247.34x = 341.16 × 143.84
  4. Step 4: Simplify right side
    247.34x = 49,072.45
  5. Step 5: Solve for x
    x = 49,072.45/247.34
  6. Step 6: Final answer
    x = 198.40

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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.