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Finding the Fourth Proportional to 285.76, 394.17 and 202.98

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Solution

The fourth proportional to 285.76, 394.17 and 202.98 is: 279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.76 : 394.17 = 202.98 : x
  2. Step 2: Convert to fraction form
    285.76/394.17 = 202.98/x
  3. Step 3: Cross multiply
    285.76x = 394.17 × 202.98
  4. Step 4: Simplify right side
    285.76x = 80,009.52
  5. Step 5: Solve for x
    x = 80,009.52/285.76
  6. Step 6: Final answer
    x = 279.99

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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.