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Finding the Fourth Proportional to 180.98, 271.26 and 99.98

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Solution

The fourth proportional to 180.98, 271.26 and 99.98 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 271.26 = 99.98 : x
  2. Step 2: Convert to fraction form
    180.98/271.26 = 99.98/x
  3. Step 3: Cross multiply
    180.98x = 271.26 × 99.98
  4. Step 4: Simplify right side
    180.98x = 27,119.22
  5. Step 5: Solve for x
    x = 27,119.22/180.98
  6. Step 6: Final answer
    x = 149.85

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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.