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Finding the Fourth Proportional to 283.19, 424.49 and 109.76

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Solution

The fourth proportional to 283.19, 424.49 and 109.76 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.19 : 424.49 = 109.76 : x
  2. Step 2: Convert to fraction form
    283.19/424.49 = 109.76/x
  3. Step 3: Cross multiply
    283.19x = 424.49 × 109.76
  4. Step 4: Simplify right side
    283.19x = 46,589.35
  5. Step 5: Solve for x
    x = 46,589.35/283.19
  6. Step 6: Final answer
    x = 164.52

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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.