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Finding the Fourth Proportional to 195.90, 293.21 and 157.20

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Solution

The fourth proportional to 195.90, 293.21 and 157.20 is: 235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.90 : 293.21 = 157.20 : x
  2. Step 2: Convert to fraction form
    195.90/293.21 = 157.20/x
  3. Step 3: Cross multiply
    195.90x = 293.21 × 157.20
  4. Step 4: Simplify right side
    195.90x = 46,091.83
  5. Step 5: Solve for x
    x = 46,091.83/195.90
  6. Step 6: Final answer
    x = 235.28

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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.