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Finding the Fourth Proportional to 227.04, 313.32 and 133.84

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Solution

The fourth proportional to 227.04, 313.32 and 133.84 is: 184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 313.32 = 133.84 : x
  2. Step 2: Convert to fraction form
    227.04/313.32 = 133.84/x
  3. Step 3: Cross multiply
    227.04x = 313.32 × 133.84
  4. Step 4: Simplify right side
    227.04x = 41,934.75
  5. Step 5: Solve for x
    x = 41,934.75/227.04
  6. Step 6: Final answer
    x = 184.70

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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.