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Finding the Fourth Proportional to 356.22, 491.36 and 208.82

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Solution

The fourth proportional to 356.22, 491.36 and 208.82 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.22 : 491.36 = 208.82 : x
  2. Step 2: Convert to fraction form
    356.22/491.36 = 208.82/x
  3. Step 3: Cross multiply
    356.22x = 491.36 × 208.82
  4. Step 4: Simplify right side
    356.22x = 102,605.80
  5. Step 5: Solve for x
    x = 102,605.80/356.22
  6. Step 6: Final answer
    x = 288.04

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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.