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Finding the Fourth Proportional to 194.22, 267.98 and 157.31

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Solution

The fourth proportional to 194.22, 267.98 and 157.31 is: 217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.22 : 267.98 = 157.31 : x
  2. Step 2: Convert to fraction form
    194.22/267.98 = 157.31/x
  3. Step 3: Cross multiply
    194.22x = 267.98 × 157.31
  4. Step 4: Simplify right side
    194.22x = 42,154.81
  5. Step 5: Solve for x
    x = 42,154.81/194.22
  6. Step 6: Final answer
    x = 217.05

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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.