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Finding the Fourth Proportional to 202.46, 279.06 and 194.90

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Solution

The fourth proportional to 202.46, 279.06 and 194.90 is: 268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.46 : 279.06 = 194.90 : x
  2. Step 2: Convert to fraction form
    202.46/279.06 = 194.90/x
  3. Step 3: Cross multiply
    202.46x = 279.06 × 194.90
  4. Step 4: Simplify right side
    202.46x = 54,388.79
  5. Step 5: Solve for x
    x = 54,388.79/202.46
  6. Step 6: Final answer
    x = 268.64

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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.