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Finding the Fourth Proportional to 215.49, 297.37 and 141.84

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Solution

The fourth proportional to 215.49, 297.37 and 141.84 is: 195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.49 : 297.37 = 141.84 : x
  2. Step 2: Convert to fraction form
    215.49/297.37 = 141.84/x
  3. Step 3: Cross multiply
    215.49x = 297.37 × 141.84
  4. Step 4: Simplify right side
    215.49x = 42,179.35
  5. Step 5: Solve for x
    x = 42,179.35/215.49
  6. Step 6: Final answer
    x = 195.74

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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.