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Finding the Fourth Proportional to 282.35, 389.25 and 215.99

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Solution

The fourth proportional to 282.35, 389.25 and 215.99 is: 297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.35 : 389.25 = 215.99 : x
  2. Step 2: Convert to fraction form
    282.35/389.25 = 215.99/x
  3. Step 3: Cross multiply
    282.35x = 389.25 × 215.99
  4. Step 4: Simplify right side
    282.35x = 84,075.89
  5. Step 5: Solve for x
    x = 84,075.89/282.35
  6. Step 6: Final answer
    x = 297.78

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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.