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Finding the Fourth Proportional to 356.20, 491.48 and 223.36

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Solution

The fourth proportional to 356.20, 491.48 and 223.36 is: 308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.20 : 491.48 = 223.36 : x
  2. Step 2: Convert to fraction form
    356.20/491.48 = 223.36/x
  3. Step 3: Cross multiply
    356.20x = 491.48 × 223.36
  4. Step 4: Simplify right side
    356.20x = 109,776.97
  5. Step 5: Solve for x
    x = 109,776.97/356.20
  6. Step 6: Final answer
    x = 308.19

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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.