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Finding the Fourth Proportional to 261.01, 391.71 and 200.26

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Solution

The fourth proportional to 261.01, 391.71 and 200.26 is: 300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.01 : 391.71 = 200.26 : x
  2. Step 2: Convert to fraction form
    261.01/391.71 = 200.26/x
  3. Step 3: Cross multiply
    261.01x = 391.71 × 200.26
  4. Step 4: Simplify right side
    261.01x = 78,443.84
  5. Step 5: Solve for x
    x = 78,443.84/261.01
  6. Step 6: Final answer
    x = 300.54

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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.