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Finding the Fourth Proportional to 202.06, 278.85 and 114.73

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Solution

The fourth proportional to 202.06, 278.85 and 114.73 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.06 : 278.85 = 114.73 : x
  2. Step 2: Convert to fraction form
    202.06/278.85 = 114.73/x
  3. Step 3: Cross multiply
    202.06x = 278.85 × 114.73
  4. Step 4: Simplify right side
    202.06x = 31,992.19
  5. Step 5: Solve for x
    x = 31,992.19/202.06
  6. Step 6: Final answer
    x = 158.33

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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.