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Finding the Fourth Proportional to 245.70, 366.98 and 205.11

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Solution

The fourth proportional to 245.70, 366.98 and 205.11 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.70 : 366.98 = 205.11 : x
  2. Step 2: Convert to fraction form
    245.70/366.98 = 205.11/x
  3. Step 3: Cross multiply
    245.70x = 366.98 × 205.11
  4. Step 4: Simplify right side
    245.70x = 75,270.24
  5. Step 5: Solve for x
    x = 75,270.24/245.70
  6. Step 6: Final answer
    x = 306.35

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Why These Related Problems?

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