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Finding the Fourth Proportional to 282.63, 424.19 and 111.75

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Solution

The fourth proportional to 282.63, 424.19 and 111.75 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 424.19 = 111.75 : x
  2. Step 2: Convert to fraction form
    282.63/424.19 = 111.75/x
  3. Step 3: Cross multiply
    282.63x = 424.19 × 111.75
  4. Step 4: Simplify right side
    282.63x = 47,402.67
  5. Step 5: Solve for x
    x = 47,402.67/282.63
  6. Step 6: Final answer
    x = 167.72

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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.