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Finding the Fourth Proportional to 330.15, 455.56 and 205.99

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Solution

The fourth proportional to 330.15, 455.56 and 205.99 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.15 : 455.56 = 205.99 : x
  2. Step 2: Convert to fraction form
    330.15/455.56 = 205.99/x
  3. Step 3: Cross multiply
    330.15x = 455.56 × 205.99
  4. Step 4: Simplify right side
    330.15x = 93,840.80
  5. Step 5: Solve for x
    x = 93,840.80/330.15
  6. Step 6: Final answer
    x = 284.24

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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.