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Finding the Fourth Proportional to 285.86, 393.80 and 202.84

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Solution

The fourth proportional to 285.86, 393.80 and 202.84 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.86 : 393.80 = 202.84 : x
  2. Step 2: Convert to fraction form
    285.86/393.80 = 202.84/x
  3. Step 3: Cross multiply
    285.86x = 393.80 × 202.84
  4. Step 4: Simplify right side
    285.86x = 79,876.39
  5. Step 5: Solve for x
    x = 79,876.39/285.86
  6. Step 6: Final answer
    x = 279.42

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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.