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Finding the Fourth Proportional to 330.49, 456.14 and 199.57

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Solution

The fourth proportional to 330.49, 456.14 and 199.57 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.49 : 456.14 = 199.57 : x
  2. Step 2: Convert to fraction form
    330.49/456.14 = 199.57/x
  3. Step 3: Cross multiply
    330.49x = 456.14 × 199.57
  4. Step 4: Simplify right side
    330.49x = 91,031.86
  5. Step 5: Solve for x
    x = 91,031.86/330.49
  6. Step 6: Final answer
    x = 275.45

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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.