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Finding the Fourth Proportional to 245.70, 367.83 and 154.11

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Solution

The fourth proportional to 245.70, 367.83 and 154.11 is: 230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.70 : 367.83 = 154.11 : x
  2. Step 2: Convert to fraction form
    245.70/367.83 = 154.11/x
  3. Step 3: Cross multiply
    245.70x = 367.83 × 154.11
  4. Step 4: Simplify right side
    245.70x = 56,686.28
  5. Step 5: Solve for x
    x = 56,686.28/245.70
  6. Step 6: Final answer
    x = 230.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.