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Finding the Fourth Proportional to 272.99, 408.65 and 150.88

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Solution

The fourth proportional to 272.99, 408.65 and 150.88 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.99 : 408.65 = 150.88 : x
  2. Step 2: Convert to fraction form
    272.99/408.65 = 150.88/x
  3. Step 3: Cross multiply
    272.99x = 408.65 × 150.88
  4. Step 4: Simplify right side
    272.99x = 61,657.11
  5. Step 5: Solve for x
    x = 61,657.11/272.99
  6. Step 6: Final answer
    x = 225.86

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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.