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Finding the Fourth Proportional to 245.88, 340.02 and 224.10

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Solution

The fourth proportional to 245.88, 340.02 and 224.10 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.88 : 340.02 = 224.10 : x
  2. Step 2: Convert to fraction form
    245.88/340.02 = 224.10/x
  3. Step 3: Cross multiply
    245.88x = 340.02 × 224.10
  4. Step 4: Simplify right side
    245.88x = 76,198.48
  5. Step 5: Solve for x
    x = 76,198.48/245.88
  6. Step 6: Final answer
    x = 309.90

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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.