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Finding the Fourth Proportional to 282.84, 389.94 and 256.20

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Solution

The fourth proportional to 282.84, 389.94 and 256.20 is: 353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 389.94 = 256.20 : x
  2. Step 2: Convert to fraction form
    282.84/389.94 = 256.20/x
  3. Step 3: Cross multiply
    282.84x = 389.94 × 256.20
  4. Step 4: Simplify right side
    282.84x = 99,902.63
  5. Step 5: Solve for x
    x = 99,902.63/282.84
  6. Step 6: Final answer
    x = 353.21

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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.