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Finding the Fourth Proportional to 227.40, 340.90 and 83.02

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Solution

The fourth proportional to 227.40, 340.90 and 83.02 is: 124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 340.90 = 83.02 : x
  2. Step 2: Convert to fraction form
    227.40/340.90 = 83.02/x
  3. Step 3: Cross multiply
    227.40x = 340.90 × 83.02
  4. Step 4: Simplify right side
    227.40x = 28,300.46
  5. Step 5: Solve for x
    x = 28,300.46/227.40
  6. Step 6: Final answer
    x = 124.45

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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.