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Finding the Fourth Proportional to 194.82, 292.92 and 188.34

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Solution

The fourth proportional to 194.82, 292.92 and 188.34 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.82 : 292.92 = 188.34 : x
  2. Step 2: Convert to fraction form
    194.82/292.92 = 188.34/x
  3. Step 3: Cross multiply
    194.82x = 292.92 × 188.34
  4. Step 4: Simplify right side
    194.82x = 55,168.55
  5. Step 5: Solve for x
    x = 55,168.55/194.82
  6. Step 6: Final answer
    x = 283.18

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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.