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Finding the Fourth Proportional to 215.25, 296.97 and 136.55

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Solution

The fourth proportional to 215.25, 296.97 and 136.55 is: 188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.25 : 296.97 = 136.55 : x
  2. Step 2: Convert to fraction form
    215.25/296.97 = 136.55/x
  3. Step 3: Cross multiply
    215.25x = 296.97 × 136.55
  4. Step 4: Simplify right side
    215.25x = 40,549.77
  5. Step 5: Solve for x
    x = 40,549.77/215.25
  6. Step 6: Final answer
    x = 188.38

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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.