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Finding the Fourth Proportional to 215.85, 297.93 and 137.21

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Solution

The fourth proportional to 215.85, 297.93 and 137.21 is: 189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.85 : 297.93 = 137.21 : x
  2. Step 2: Convert to fraction form
    215.85/297.93 = 137.21/x
  3. Step 3: Cross multiply
    215.85x = 297.93 × 137.21
  4. Step 4: Simplify right side
    215.85x = 40,877.49
  5. Step 5: Solve for x
    x = 40,877.49/215.85
  6. Step 6: Final answer
    x = 189.38

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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.