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Finding the Fourth Proportional to 283.16, 424.76 and 109.88

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Solution

The fourth proportional to 283.16, 424.76 and 109.88 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.16 : 424.76 = 109.88 : x
  2. Step 2: Convert to fraction form
    283.16/424.76 = 109.88/x
  3. Step 3: Cross multiply
    283.16x = 424.76 × 109.88
  4. Step 4: Simplify right side
    283.16x = 46,672.63
  5. Step 5: Solve for x
    x = 46,672.63/283.16
  6. Step 6: Final answer
    x = 164.83

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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.