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Finding the Fourth Proportional to 195.78, 293.60 and 58.79

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Solution

The fourth proportional to 195.78, 293.60 and 58.79 is: 88.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 293.60 = 58.79 : x
  2. Step 2: Convert to fraction form
    195.78/293.60 = 58.79/x
  3. Step 3: Cross multiply
    195.78x = 293.60 × 58.79
  4. Step 4: Simplify right side
    195.78x = 17,258.98
  5. Step 5: Solve for x
    x = 17,258.98/195.78
  6. Step 6: Final answer
    x = 88.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.