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Finding the Fourth Proportional to 220.59, 304.33 and 137.55

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Solution

The fourth proportional to 220.59, 304.33 and 137.55 is: 189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.59 : 304.33 = 137.55 : x
  2. Step 2: Convert to fraction form
    220.59/304.33 = 137.55/x
  3. Step 3: Cross multiply
    220.59x = 304.33 × 137.55
  4. Step 4: Simplify right side
    220.59x = 41,860.59
  5. Step 5: Solve for x
    x = 41,860.59/220.59
  6. Step 6: Final answer
    x = 189.77

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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.