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Finding the Fourth Proportional to 180.17, 270.16 and 98.94

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Solution

The fourth proportional to 180.17, 270.16 and 98.94 is: 148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.17 : 270.16 = 98.94 : x
  2. Step 2: Convert to fraction form
    180.17/270.16 = 98.94/x
  3. Step 3: Cross multiply
    180.17x = 270.16 × 98.94
  4. Step 4: Simplify right side
    180.17x = 26,729.14
  5. Step 5: Solve for x
    x = 26,729.14/180.17
  6. Step 6: Final answer
    x = 148.36

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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.