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Finding the Fourth Proportional to 330.17, 455.57 and 197.42

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Solution

The fourth proportional to 330.17, 455.57 and 197.42 is: 272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.17 : 455.57 = 197.42 : x
  2. Step 2: Convert to fraction form
    330.17/455.57 = 197.42/x
  3. Step 3: Cross multiply
    330.17x = 455.57 × 197.42
  4. Step 4: Simplify right side
    330.17x = 89,935.36
  5. Step 5: Solve for x
    x = 89,935.36/330.17
  6. Step 6: Final answer
    x = 272.40

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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.