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Finding the Fourth Proportional to 356.17, 491.50 and 208.83

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Solution

The fourth proportional to 356.17, 491.50 and 208.83 is: 288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.17 : 491.50 = 208.83 : x
  2. Step 2: Convert to fraction form
    356.17/491.50 = 208.83/x
  3. Step 3: Cross multiply
    356.17x = 491.50 × 208.83
  4. Step 4: Simplify right side
    356.17x = 102,639.95
  5. Step 5: Solve for x
    x = 102,639.95/356.17
  6. Step 6: Final answer
    x = 288.18

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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.