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Finding the Fourth Proportional to 245.49, 337.93 and 217.81

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Solution

The fourth proportional to 245.49, 337.93 and 217.81 is: 299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.49 : 337.93 = 217.81 : x
  2. Step 2: Convert to fraction form
    245.49/337.93 = 217.81/x
  3. Step 3: Cross multiply
    245.49x = 337.93 × 217.81
  4. Step 4: Simplify right side
    245.49x = 73,604.53
  5. Step 5: Solve for x
    x = 73,604.53/245.49
  6. Step 6: Final answer
    x = 299.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.