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Finding the Fourth Proportional to 298.98, 412.52 and 194.02

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Solution

The fourth proportional to 298.98, 412.52 and 194.02 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 412.52 = 194.02 : x
  2. Step 2: Convert to fraction form
    298.98/412.52 = 194.02/x
  3. Step 3: Cross multiply
    298.98x = 412.52 × 194.02
  4. Step 4: Simplify right side
    298.98x = 80,037.13
  5. Step 5: Solve for x
    x = 80,037.13/298.98
  6. Step 6: Final answer
    x = 267.70

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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.