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Finding the Fourth Proportional to 283.10, 424.60 and 109.69

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Solution

The fourth proportional to 283.10, 424.60 and 109.69 is: 164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 424.60 = 109.69 : x
  2. Step 2: Convert to fraction form
    283.10/424.60 = 109.69/x
  3. Step 3: Cross multiply
    283.10x = 424.60 × 109.69
  4. Step 4: Simplify right side
    283.10x = 46,573.04
  5. Step 5: Solve for x
    x = 46,573.04/283.10
  6. Step 6: Final answer
    x = 164.51

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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.