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Finding the Fourth Proportional to 194.81, 292.41 and 147.02

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Solution

The fourth proportional to 194.81, 292.41 and 147.02 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.81 : 292.41 = 147.02 : x
  2. Step 2: Convert to fraction form
    194.81/292.41 = 147.02/x
  3. Step 3: Cross multiply
    194.81x = 292.41 × 147.02
  4. Step 4: Simplify right side
    194.81x = 42,988.66
  5. Step 5: Solve for x
    x = 42,988.66/194.81
  6. Step 6: Final answer
    x = 220.68

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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.