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Finding the Fourth Proportional to 285.86, 394.52 and 202.93

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Solution

The fourth proportional to 285.86, 394.52 and 202.93 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.86 : 394.52 = 202.93 : x
  2. Step 2: Convert to fraction form
    285.86/394.52 = 202.93/x
  3. Step 3: Cross multiply
    285.86x = 394.52 × 202.93
  4. Step 4: Simplify right side
    285.86x = 80,057.94
  5. Step 5: Solve for x
    x = 80,057.94/285.86
  6. Step 6: Final answer
    x = 280.06

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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.