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Finding the Fourth Proportional to 356.02, 491.17 and 216.09

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Solution

The fourth proportional to 356.02, 491.17 and 216.09 is: 298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.02 : 491.17 = 216.09 : x
  2. Step 2: Convert to fraction form
    356.02/491.17 = 216.09/x
  3. Step 3: Cross multiply
    356.02x = 491.17 × 216.09
  4. Step 4: Simplify right side
    356.02x = 106,136.85
  5. Step 5: Solve for x
    x = 106,136.85/356.02
  6. Step 6: Final answer
    x = 298.12

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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.