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Finding the Fourth Proportional to 151.03, 208.76 and 127.84

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Solution

The fourth proportional to 151.03, 208.76 and 127.84 is: 176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.03 : 208.76 = 127.84 : x
  2. Step 2: Convert to fraction form
    151.03/208.76 = 127.84/x
  3. Step 3: Cross multiply
    151.03x = 208.76 × 127.84
  4. Step 4: Simplify right side
    151.03x = 26,687.88
  5. Step 5: Solve for x
    x = 26,687.88/151.03
  6. Step 6: Final answer
    x = 176.71

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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.