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Finding the Fourth Proportional to 194.70, 292.14 and 98.50

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Solution

The fourth proportional to 194.70, 292.14 and 98.50 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.70 : 292.14 = 98.50 : x
  2. Step 2: Convert to fraction form
    194.70/292.14 = 98.50/x
  3. Step 3: Cross multiply
    194.70x = 292.14 × 98.50
  4. Step 4: Simplify right side
    194.70x = 28,775.79
  5. Step 5: Solve for x
    x = 28,775.79/194.70
  6. Step 6: Final answer
    x = 147.80

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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.