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Finding the Fourth Proportional to 301.32, 416.03 and 222.65

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Solution

The fourth proportional to 301.32, 416.03 and 222.65 is: 307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.32 : 416.03 = 222.65 : x
  2. Step 2: Convert to fraction form
    301.32/416.03 = 222.65/x
  3. Step 3: Cross multiply
    301.32x = 416.03 × 222.65
  4. Step 4: Simplify right side
    301.32x = 92,629.08
  5. Step 5: Solve for x
    x = 92,629.08/301.32
  6. Step 6: Final answer
    x = 307.41

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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.