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Finding the Fourth Proportional to 282.83, 424.65 and 174.29

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Solution

The fourth proportional to 282.83, 424.65 and 174.29 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.83 : 424.65 = 174.29 : x
  2. Step 2: Convert to fraction form
    282.83/424.65 = 174.29/x
  3. Step 3: Cross multiply
    282.83x = 424.65 × 174.29
  4. Step 4: Simplify right side
    282.83x = 74,012.25
  5. Step 5: Solve for x
    x = 74,012.25/282.83
  6. Step 6: Final answer
    x = 261.68

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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.