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Finding the Fourth Proportional to 151.72, 208.68 and 142.84

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Solution

The fourth proportional to 151.72, 208.68 and 142.84 is: 196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.72 : 208.68 = 142.84 : x
  2. Step 2: Convert to fraction form
    151.72/208.68 = 142.84/x
  3. Step 3: Cross multiply
    151.72x = 208.68 × 142.84
  4. Step 4: Simplify right side
    151.72x = 29,806.99
  5. Step 5: Solve for x
    x = 29,806.99/151.72
  6. Step 6: Final answer
    x = 196.46

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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.