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Finding the Fourth Proportional to 355.92, 491.15 and 216.05

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Solution

The fourth proportional to 355.92, 491.15 and 216.05 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.92 : 491.15 = 216.05 : x
  2. Step 2: Convert to fraction form
    355.92/491.15 = 216.05/x
  3. Step 3: Cross multiply
    355.92x = 491.15 × 216.05
  4. Step 4: Simplify right side
    355.92x = 106,109.42
  5. Step 5: Solve for x
    x = 106,109.42/355.92
  6. Step 6: Final answer
    x = 298.13

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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.