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Finding the Fourth Proportional to 195.78, 293.67 and 58.83

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Solution

The fourth proportional to 195.78, 293.67 and 58.83 is: 88.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 293.67 = 58.83 : x
  2. Step 2: Convert to fraction form
    195.78/293.67 = 58.83/x
  3. Step 3: Cross multiply
    195.78x = 293.67 × 58.83
  4. Step 4: Simplify right side
    195.78x = 17,276.61
  5. Step 5: Solve for x
    x = 17,276.61/195.78
  6. Step 6: Final answer
    x = 88.25

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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.