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Finding the Fourth Proportional to 301.77, 416.21 and 224.01

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Solution

The fourth proportional to 301.77, 416.21 and 224.01 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.77 : 416.21 = 224.01 : x
  2. Step 2: Convert to fraction form
    301.77/416.21 = 224.01/x
  3. Step 3: Cross multiply
    301.77x = 416.21 × 224.01
  4. Step 4: Simplify right side
    301.77x = 93,234.08
  5. Step 5: Solve for x
    x = 93,234.08/301.77
  6. Step 6: Final answer
    x = 308.96

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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.