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Finding the Fourth Proportional to 215.03, 296.77 and 121.77

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Solution

The fourth proportional to 215.03, 296.77 and 121.77 is: 168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.03 : 296.77 = 121.77 : x
  2. Step 2: Convert to fraction form
    215.03/296.77 = 121.77/x
  3. Step 3: Cross multiply
    215.03x = 296.77 × 121.77
  4. Step 4: Simplify right side
    215.03x = 36,137.68
  5. Step 5: Solve for x
    x = 36,137.68/215.03
  6. Step 6: Final answer
    x = 168.06

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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.