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Finding the Fourth Proportional to 195.88, 270.42 and 157

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Solution

The fourth proportional to 195.88, 270.42 and 157 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.88 : 270.42 = 157 : x
  2. Step 2: Convert to fraction form
    195.88/270.42 = 157/x
  3. Step 3: Cross multiply
    195.88x = 270.42 × 157
  4. Step 4: Simplify right side
    195.88x = 42,455.94
  5. Step 5: Solve for x
    x = 42,455.94/195.88
  6. Step 6: Final answer
    x = 216.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.