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Finding the Fourth Proportional to 330.41, 456.06 and 206.18

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Solution

The fourth proportional to 330.41, 456.06 and 206.18 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.41 : 456.06 = 206.18 : x
  2. Step 2: Convert to fraction form
    330.41/456.06 = 206.18/x
  3. Step 3: Cross multiply
    330.41x = 456.06 × 206.18
  4. Step 4: Simplify right side
    330.41x = 94,028.17
  5. Step 5: Solve for x
    x = 94,028.17/330.41
  6. Step 6: Final answer
    x = 284.58

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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.