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Finding the Fourth Proportional to 215.43, 296.96 and 141.72

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Solution

The fourth proportional to 215.43, 296.96 and 141.72 is: 195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.43 : 296.96 = 141.72 : x
  2. Step 2: Convert to fraction form
    215.43/296.96 = 141.72/x
  3. Step 3: Cross multiply
    215.43x = 296.96 × 141.72
  4. Step 4: Simplify right side
    215.43x = 42,084.46
  5. Step 5: Solve for x
    x = 42,084.46/215.43
  6. Step 6: Final answer
    x = 195.35

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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.