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Finding the Fourth Proportional to 330.84, 456.25 and 206.42

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Solution

The fourth proportional to 330.84, 456.25 and 206.42 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 456.25 = 206.42 : x
  2. Step 2: Convert to fraction form
    330.84/456.25 = 206.42/x
  3. Step 3: Cross multiply
    330.84x = 456.25 × 206.42
  4. Step 4: Simplify right side
    330.84x = 94,178.11
  5. Step 5: Solve for x
    x = 94,178.11/330.84
  6. Step 6: Final answer
    x = 284.66

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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.