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Finding the Fourth Proportional to 330.70, 456.42 and 197.93

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Solution

The fourth proportional to 330.70, 456.42 and 197.93 is: 273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.70 : 456.42 = 197.93 : x
  2. Step 2: Convert to fraction form
    330.70/456.42 = 197.93/x
  3. Step 3: Cross multiply
    330.70x = 456.42 × 197.93
  4. Step 4: Simplify right side
    330.70x = 90,339.21
  5. Step 5: Solve for x
    x = 90,339.21/330.70
  6. Step 6: Final answer
    x = 273.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.