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Finding the Fourth Proportional to 215.25, 297.05 and 137.67

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Solution

The fourth proportional to 215.25, 297.05 and 137.67 is: 189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.25 : 297.05 = 137.67 : x
  2. Step 2: Convert to fraction form
    215.25/297.05 = 137.67/x
  3. Step 3: Cross multiply
    215.25x = 297.05 × 137.67
  4. Step 4: Simplify right side
    215.25x = 40,894.19
  5. Step 5: Solve for x
    x = 40,894.19/215.25
  6. Step 6: Final answer
    x = 189.98

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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.