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Finding the Fourth Proportional to 215.15, 297.02 and 137.57

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Solution

The fourth proportional to 215.15, 297.02 and 137.57 is: 189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.15 : 297.02 = 137.57 : x
  2. Step 2: Convert to fraction form
    215.15/297.02 = 137.57/x
  3. Step 3: Cross multiply
    215.15x = 297.02 × 137.57
  4. Step 4: Simplify right side
    215.15x = 40,861.10
  5. Step 5: Solve for x
    x = 40,861.10/215.15
  6. Step 6: Final answer
    x = 189.92

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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.