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Finding the Fourth Proportional to 330.88, 456.56 and 206.56

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Solution

The fourth proportional to 330.88, 456.56 and 206.56 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.88 : 456.56 = 206.56 : x
  2. Step 2: Convert to fraction form
    330.88/456.56 = 206.56/x
  3. Step 3: Cross multiply
    330.88x = 456.56 × 206.56
  4. Step 4: Simplify right side
    330.88x = 94,307.03
  5. Step 5: Solve for x
    x = 94,307.03/330.88
  6. Step 6: Final answer
    x = 285.02

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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.