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Finding the Fourth Proportional to 328.14, 491.72 and 198.00

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Solution

The fourth proportional to 328.14, 491.72 and 198.00 is: 296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.14 : 491.72 = 198.00 : x
  2. Step 2: Convert to fraction form
    328.14/491.72 = 198.00/x
  3. Step 3: Cross multiply
    328.14x = 491.72 × 198.00
  4. Step 4: Simplify right side
    328.14x = 97,357.73
  5. Step 5: Solve for x
    x = 97,357.73/328.14
  6. Step 6: Final answer
    x = 296.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.