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Finding the Fourth Proportional to 195.01, 293.84 and 161.52

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Solution

The fourth proportional to 195.01, 293.84 and 161.52 is: 243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.01 : 293.84 = 161.52 : x
  2. Step 2: Convert to fraction form
    195.01/293.84 = 161.52/x
  3. Step 3: Cross multiply
    195.01x = 293.84 × 161.52
  4. Step 4: Simplify right side
    195.01x = 47,461.04
  5. Step 5: Solve for x
    x = 47,461.04/195.01
  6. Step 6: Final answer
    x = 243.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.