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Finding the Fourth Proportional to 151.64, 208.02 and 142.82

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Solution

The fourth proportional to 151.64, 208.02 and 142.82 is: 195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.64 : 208.02 = 142.82 : x
  2. Step 2: Convert to fraction form
    151.64/208.02 = 142.82/x
  3. Step 3: Cross multiply
    151.64x = 208.02 × 142.82
  4. Step 4: Simplify right side
    151.64x = 29,709.42
  5. Step 5: Solve for x
    x = 29,709.42/151.64
  6. Step 6: Final answer
    x = 195.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.