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Finding the Fourth Proportional to 195.35, 292.95 and 149.58

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Solution

The fourth proportional to 195.35, 292.95 and 149.58 is: 224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.35 : 292.95 = 149.58 : x
  2. Step 2: Convert to fraction form
    195.35/292.95 = 149.58/x
  3. Step 3: Cross multiply
    195.35x = 292.95 × 149.58
  4. Step 4: Simplify right side
    195.35x = 43,819.46
  5. Step 5: Solve for x
    x = 43,819.46/195.35
  6. Step 6: Final answer
    x = 224.32

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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.