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Finding the Fourth Proportional to 355.86, 490.95 and 216

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Solution

The fourth proportional to 355.86, 490.95 and 216 is: 298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.86 : 490.95 = 216 : x
  2. Step 2: Convert to fraction form
    355.86/490.95 = 216/x
  3. Step 3: Cross multiply
    355.86x = 490.95 × 216
  4. Step 4: Simplify right side
    355.86x = 106,045.20
  5. Step 5: Solve for x
    x = 106,045.20/355.86
  6. Step 6: Final answer
    x = 298.00

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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.