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Finding the Fourth Proportional to 356.21, 491.37 and 208.82

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Solution

The fourth proportional to 356.21, 491.37 and 208.82 is: 288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.21 : 491.37 = 208.82 : x
  2. Step 2: Convert to fraction form
    356.21/491.37 = 208.82/x
  3. Step 3: Cross multiply
    356.21x = 491.37 × 208.82
  4. Step 4: Simplify right side
    356.21x = 102,605.43
  5. Step 5: Solve for x
    x = 102,605.43/356.21
  6. Step 6: Final answer
    x = 288.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.