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Finding the Fourth Proportional to 226.09, 337.60 and 185.59

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Solution

The fourth proportional to 226.09, 337.60 and 185.59 is: 277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.09 : 337.60 = 185.59 : x
  2. Step 2: Convert to fraction form
    226.09/337.60 = 185.59/x
  3. Step 3: Cross multiply
    226.09x = 337.60 × 185.59
  4. Step 4: Simplify right side
    226.09x = 62,655.18
  5. Step 5: Solve for x
    x = 62,655.18/226.09
  6. Step 6: Final answer
    x = 277.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.