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Finding the Fourth Proportional to 267.42, 400.98 and 190.02

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Solution

The fourth proportional to 267.42, 400.98 and 190.02 is: 284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 400.98 = 190.02 : x
  2. Step 2: Convert to fraction form
    267.42/400.98 = 190.02/x
  3. Step 3: Cross multiply
    267.42x = 400.98 × 190.02
  4. Step 4: Simplify right side
    267.42x = 76,194.22
  5. Step 5: Solve for x
    x = 76,194.22/267.42
  6. Step 6: Final answer
    x = 284.92

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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.