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Finding the Fourth Proportional to 194.88, 292.56 and 138.24

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Solution

The fourth proportional to 194.88, 292.56 and 138.24 is: 207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.88 : 292.56 = 138.24 : x
  2. Step 2: Convert to fraction form
    194.88/292.56 = 138.24/x
  3. Step 3: Cross multiply
    194.88x = 292.56 × 138.24
  4. Step 4: Simplify right side
    194.88x = 40,443.49
  5. Step 5: Solve for x
    x = 40,443.49/194.88
  6. Step 6: Final answer
    x = 207.53

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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.