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Finding the Fourth Proportional to 223.95, 335.76 and 106.77

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Solution

The fourth proportional to 223.95, 335.76 and 106.77 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.95 : 335.76 = 106.77 : x
  2. Step 2: Convert to fraction form
    223.95/335.76 = 106.77/x
  3. Step 3: Cross multiply
    223.95x = 335.76 × 106.77
  4. Step 4: Simplify right side
    223.95x = 35,849.10
  5. Step 5: Solve for x
    x = 35,849.10/223.95
  6. Step 6: Final answer
    x = 160.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.