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Finding the Fourth Proportional to 219.10, 302.33 and 120.83

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Solution

The fourth proportional to 219.10, 302.33 and 120.83 is: 166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.10 : 302.33 = 120.83 : x
  2. Step 2: Convert to fraction form
    219.10/302.33 = 120.83/x
  3. Step 3: Cross multiply
    219.10x = 302.33 × 120.83
  4. Step 4: Simplify right side
    219.10x = 36,529.02
  5. Step 5: Solve for x
    x = 36,529.02/219.10
  6. Step 6: Final answer
    x = 166.73

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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.