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Finding the Fourth Proportional to 238.95, 357.75 and 180.99

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Solution

The fourth proportional to 238.95, 357.75 and 180.99 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.95 : 357.75 = 180.99 : x
  2. Step 2: Convert to fraction form
    238.95/357.75 = 180.99/x
  3. Step 3: Cross multiply
    238.95x = 357.75 × 180.99
  4. Step 4: Simplify right side
    238.95x = 64,749.17
  5. Step 5: Solve for x
    x = 64,749.17/238.95
  6. Step 6: Final answer
    x = 270.97

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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.