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Finding the Fourth Proportional to 194.78, 292.14 and 66.50

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Solution

The fourth proportional to 194.78, 292.14 and 66.50 is: 99.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.78 : 292.14 = 66.50 : x
  2. Step 2: Convert to fraction form
    194.78/292.14 = 66.50/x
  3. Step 3: Cross multiply
    194.78x = 292.14 × 66.50
  4. Step 4: Simplify right side
    194.78x = 19,427.31
  5. Step 5: Solve for x
    x = 19,427.31/194.78
  6. Step 6: Final answer
    x = 99.74

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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.