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Finding the Fourth Proportional to 285.21, 426.80 and 202.77

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Solution

The fourth proportional to 285.21, 426.80 and 202.77 is: 303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.21 : 426.80 = 202.77 : x
  2. Step 2: Convert to fraction form
    285.21/426.80 = 202.77/x
  3. Step 3: Cross multiply
    285.21x = 426.80 × 202.77
  4. Step 4: Simplify right side
    285.21x = 86,542.74
  5. Step 5: Solve for x
    x = 86,542.74/285.21
  6. Step 6: Final answer
    x = 303.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.