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Finding the Fourth Proportional to 194.01, 292.34 and 160.52

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Solution

The fourth proportional to 194.01, 292.34 and 160.52 is: 241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.01 : 292.34 = 160.52 : x
  2. Step 2: Convert to fraction form
    194.01/292.34 = 160.52/x
  3. Step 3: Cross multiply
    194.01x = 292.34 × 160.52
  4. Step 4: Simplify right side
    194.01x = 46,924.45
  5. Step 5: Solve for x
    x = 46,924.45/194.01
  6. Step 6: Final answer
    x = 241.87

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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.