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Finding the Fourth Proportional to 215.41, 297.32 and 141.69

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Solution

The fourth proportional to 215.41, 297.32 and 141.69 is: 195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.41 : 297.32 = 141.69 : x
  2. Step 2: Convert to fraction form
    215.41/297.32 = 141.69/x
  3. Step 3: Cross multiply
    215.41x = 297.32 × 141.69
  4. Step 4: Simplify right side
    215.41x = 42,125.08
  5. Step 5: Solve for x
    x = 42,125.08/215.41
  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.