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Finding the Fourth Proportional to 195.12, 292.68 and 149.76

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Solution

The fourth proportional to 195.12, 292.68 and 149.76 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.12 : 292.68 = 149.76 : x
  2. Step 2: Convert to fraction form
    195.12/292.68 = 149.76/x
  3. Step 3: Cross multiply
    195.12x = 292.68 × 149.76
  4. Step 4: Simplify right side
    195.12x = 43,831.76
  5. Step 5: Solve for x
    x = 43,831.76/195.12
  6. Step 6: Final answer
    x = 224.64

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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.