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Finding the Fourth Proportional to 245.26, 337.66 and 224.74

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Solution

The fourth proportional to 245.26, 337.66 and 224.74 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.26 : 337.66 = 224.74 : x
  2. Step 2: Convert to fraction form
    245.26/337.66 = 224.74/x
  3. Step 3: Cross multiply
    245.26x = 337.66 × 224.74
  4. Step 4: Simplify right side
    245.26x = 75,885.71
  5. Step 5: Solve for x
    x = 75,885.71/245.26
  6. Step 6: Final answer
    x = 309.41

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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.