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Finding the Fourth Proportional to 282.90, 424.27 and 196.23

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Solution

The fourth proportional to 282.90, 424.27 and 196.23 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.90 : 424.27 = 196.23 : x
  2. Step 2: Convert to fraction form
    282.90/424.27 = 196.23/x
  3. Step 3: Cross multiply
    282.90x = 424.27 × 196.23
  4. Step 4: Simplify right side
    282.90x = 83,254.50
  5. Step 5: Solve for x
    x = 83,254.50/282.90
  6. Step 6: Final answer
    x = 294.29

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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.