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Finding the Fourth Proportional to 262.02, 391.15 and 215.85

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Solution

The fourth proportional to 262.02, 391.15 and 215.85 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 391.15 = 215.85 : x
  2. Step 2: Convert to fraction form
    262.02/391.15 = 215.85/x
  3. Step 3: Cross multiply
    262.02x = 391.15 × 215.85
  4. Step 4: Simplify right side
    262.02x = 84,429.73
  5. Step 5: Solve for x
    x = 84,429.73/262.02
  6. Step 6: Final answer
    x = 322.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.