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Finding the Fourth Proportional to 261.54, 361.80 and 217.80

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Solution

The fourth proportional to 261.54, 361.80 and 217.80 is: 301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.54 : 361.80 = 217.80 : x
  2. Step 2: Convert to fraction form
    261.54/361.80 = 217.80/x
  3. Step 3: Cross multiply
    261.54x = 361.80 × 217.80
  4. Step 4: Simplify right side
    261.54x = 78,800.04
  5. Step 5: Solve for x
    x = 78,800.04/261.54
  6. Step 6: Final answer
    x = 301.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.