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Finding the Fourth Proportional to 227.68, 314.40 and 149.02

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Solution

The fourth proportional to 227.68, 314.40 and 149.02 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 314.40 = 149.02 : x
  2. Step 2: Convert to fraction form
    227.68/314.40 = 149.02/x
  3. Step 3: Cross multiply
    227.68x = 314.40 × 149.02
  4. Step 4: Simplify right side
    227.68x = 46,851.89
  5. Step 5: Solve for x
    x = 46,851.89/227.68
  6. Step 6: Final answer
    x = 205.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.