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Finding the Fourth Proportional to 245.70, 367.61 and 137.57

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Solution

The fourth proportional to 245.70, 367.61 and 137.57 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.70 : 367.61 = 137.57 : x
  2. Step 2: Convert to fraction form
    245.70/367.61 = 137.57/x
  3. Step 3: Cross multiply
    245.70x = 367.61 × 137.57
  4. Step 4: Simplify right side
    245.70x = 50,569.58
  5. Step 5: Solve for x
    x = 50,569.58/245.70
  6. Step 6: Final answer
    x = 205.82

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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.