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Finding the Fourth Proportional to 215.19, 296.97 and 120.67

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Solution

The fourth proportional to 215.19, 296.97 and 120.67 is: 166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.19 : 296.97 = 120.67 : x
  2. Step 2: Convert to fraction form
    215.19/296.97 = 120.67/x
  3. Step 3: Cross multiply
    215.19x = 296.97 × 120.67
  4. Step 4: Simplify right side
    215.19x = 35,833.89
  5. Step 5: Solve for x
    x = 35,833.89/215.19
  6. Step 6: Final answer
    x = 166.53

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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.