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Finding the Fourth Proportional to 783.14, 1,174.73 and 198.14

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Solution

The fourth proportional to 783.14, 1,174.73 and 198.14 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.14 : 1,174.73 = 198.14 : x
  2. Step 2: Convert to fraction form
    783.14/1,174.73 = 198.14/x
  3. Step 3: Cross multiply
    783.14x = 1,174.73 × 198.14
  4. Step 4: Simplify right side
    783.14x = 232,754.14
  5. Step 5: Solve for x
    x = 232,754.14/783.14
  6. Step 6: Final answer
    x = 297.21

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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.