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Finding the Fourth Proportional to 297.98, 411.14 and 193.02

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Solution

The fourth proportional to 297.98, 411.14 and 193.02 is: 266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.98 : 411.14 = 193.02 : x
  2. Step 2: Convert to fraction form
    297.98/411.14 = 193.02/x
  3. Step 3: Cross multiply
    297.98x = 411.14 × 193.02
  4. Step 4: Simplify right side
    297.98x = 79,357.18
  5. Step 5: Solve for x
    x = 79,357.18/297.98
  6. Step 6: Final answer
    x = 266.32

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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.