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Finding the Fourth Proportional to 195.52, 292.86 and 144.28

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Solution

The fourth proportional to 195.52, 292.86 and 144.28 is: 216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.52 : 292.86 = 144.28 : x
  2. Step 2: Convert to fraction form
    195.52/292.86 = 144.28/x
  3. Step 3: Cross multiply
    195.52x = 292.86 × 144.28
  4. Step 4: Simplify right side
    195.52x = 42,253.84
  5. Step 5: Solve for x
    x = 42,253.84/195.52
  6. Step 6: Final answer
    x = 216.11

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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.