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Finding the Fourth Proportional to 319.64, 441.92 and 222.12

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Solution

The fourth proportional to 319.64, 441.92 and 222.12 is: 307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.64 : 441.92 = 222.12 : x
  2. Step 2: Convert to fraction form
    319.64/441.92 = 222.12/x
  3. Step 3: Cross multiply
    319.64x = 441.92 × 222.12
  4. Step 4: Simplify right side
    319.64x = 98,159.27
  5. Step 5: Solve for x
    x = 98,159.27/319.64
  6. Step 6: Final answer
    x = 307.09

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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.