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Finding the Fourth Proportional to 195.66, 293.54 and 98.22

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Solution

The fourth proportional to 195.66, 293.54 and 98.22 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.66 : 293.54 = 98.22 : x
  2. Step 2: Convert to fraction form
    195.66/293.54 = 98.22/x
  3. Step 3: Cross multiply
    195.66x = 293.54 × 98.22
  4. Step 4: Simplify right side
    195.66x = 28,831.50
  5. Step 5: Solve for x
    x = 28,831.50/195.66
  6. Step 6: Final answer
    x = 147.36

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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.