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Finding the Fourth Proportional to 218.02, 326.67 and 174.82

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Solution

The fourth proportional to 218.02, 326.67 and 174.82 is: 261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.02 : 326.67 = 174.82 : x
  2. Step 2: Convert to fraction form
    218.02/326.67 = 174.82/x
  3. Step 3: Cross multiply
    218.02x = 326.67 × 174.82
  4. Step 4: Simplify right side
    218.02x = 57,108.45
  5. Step 5: Solve for x
    x = 57,108.45/218.02
  6. Step 6: Final answer
    x = 261.94

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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.