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Finding the Fourth Proportional to 356.15, 491.42 and 216.26

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Solution

The fourth proportional to 356.15, 491.42 and 216.26 is: 298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.15 : 491.42 = 216.26 : x
  2. Step 2: Convert to fraction form
    356.15/491.42 = 216.26/x
  3. Step 3: Cross multiply
    356.15x = 491.42 × 216.26
  4. Step 4: Simplify right side
    356.15x = 106,270.95
  5. Step 5: Solve for x
    x = 106,270.95/356.15
  6. Step 6: Final answer
    x = 298.39

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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.