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Finding the Fourth Proportional to 283.72, 424.49 and 206.70

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Solution

The fourth proportional to 283.72, 424.49 and 206.70 is: 309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.72 : 424.49 = 206.70 : x
  2. Step 2: Convert to fraction form
    283.72/424.49 = 206.70/x
  3. Step 3: Cross multiply
    283.72x = 424.49 × 206.70
  4. Step 4: Simplify right side
    283.72x = 87,742.64
  5. Step 5: Solve for x
    x = 87,742.64/283.72
  6. Step 6: Final answer
    x = 309.26

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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.