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Finding the Fourth Proportional to 180.36, 270.38 and 99.10

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Solution

The fourth proportional to 180.36, 270.38 and 99.10 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 270.38 = 99.10 : x
  2. Step 2: Convert to fraction form
    180.36/270.38 = 99.10/x
  3. Step 3: Cross multiply
    180.36x = 270.38 × 99.10
  4. Step 4: Simplify right side
    180.36x = 26,794.66
  5. Step 5: Solve for x
    x = 26,794.66/180.36
  6. Step 6: Final answer
    x = 148.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.