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Finding the Fourth Proportional to 195.65, 293.51 and 58.70

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Solution

The fourth proportional to 195.65, 293.51 and 58.70 is: 88.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.65 : 293.51 = 58.70 : x
  2. Step 2: Convert to fraction form
    195.65/293.51 = 58.70/x
  3. Step 3: Cross multiply
    195.65x = 293.51 × 58.70
  4. Step 4: Simplify right side
    195.65x = 17,229.92
  5. Step 5: Solve for x
    x = 17,229.92/195.65
  6. Step 6: Final answer
    x = 88.07

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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.