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Finding the Fourth Proportional to 272.95, 409.46 and 151.45

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Solution

The fourth proportional to 272.95, 409.46 and 151.45 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.95 : 409.46 = 151.45 : x
  2. Step 2: Convert to fraction form
    272.95/409.46 = 151.45/x
  3. Step 3: Cross multiply
    272.95x = 409.46 × 151.45
  4. Step 4: Simplify right side
    272.95x = 62,012.72
  5. Step 5: Solve for x
    x = 62,012.72/272.95
  6. Step 6: Final answer
    x = 227.19

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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.