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Finding the Fourth Proportional to 195.13, 292.30 and 145.81

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Solution

The fourth proportional to 195.13, 292.30 and 145.81 is: 218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.13 : 292.30 = 145.81 : x
  2. Step 2: Convert to fraction form
    195.13/292.30 = 145.81/x
  3. Step 3: Cross multiply
    195.13x = 292.30 × 145.81
  4. Step 4: Simplify right side
    195.13x = 42,620.26
  5. Step 5: Solve for x
    x = 42,620.26/195.13
  6. Step 6: Final answer
    x = 218.42

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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.