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Finding the Fourth Proportional to 215.32, 297.16 and 141.70

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Solution

The fourth proportional to 215.32, 297.16 and 141.70 is: 195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.32 : 297.16 = 141.70 : x
  2. Step 2: Convert to fraction form
    215.32/297.16 = 141.70/x
  3. Step 3: Cross multiply
    215.32x = 297.16 × 141.70
  4. Step 4: Simplify right side
    215.32x = 42,107.57
  5. Step 5: Solve for x
    x = 42,107.57/215.32
  6. Step 6: Final answer
    x = 195.56

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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.