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Finding the Fourth Proportional to 213.10, 293.84 and 143.17

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Solution

The fourth proportional to 213.10, 293.84 and 143.17 is: 197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 293.84 = 143.17 : x
  2. Step 2: Convert to fraction form
    213.10/293.84 = 143.17/x
  3. Step 3: Cross multiply
    213.10x = 293.84 × 143.17
  4. Step 4: Simplify right side
    213.10x = 42,068.96
  5. Step 5: Solve for x
    x = 42,068.96/213.10
  6. Step 6: Final answer
    x = 197.42

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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.