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Finding the Fourth Proportional to 330.93, 456.53 and 198.06

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Solution

The fourth proportional to 330.93, 456.53 and 198.06 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.93 : 456.53 = 198.06 : x
  2. Step 2: Convert to fraction form
    330.93/456.53 = 198.06/x
  3. Step 3: Cross multiply
    330.93x = 456.53 × 198.06
  4. Step 4: Simplify right side
    330.93x = 90,419.34
  5. Step 5: Solve for x
    x = 90,419.34/330.93
  6. Step 6: Final answer
    x = 273.23

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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.