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Finding the Fourth Proportional to 178.83, 267.80 and 127.22

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Solution

The fourth proportional to 178.83, 267.80 and 127.22 is: 190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.83 : 267.80 = 127.22 : x
  2. Step 2: Convert to fraction form
    178.83/267.80 = 127.22/x
  3. Step 3: Cross multiply
    178.83x = 267.80 × 127.22
  4. Step 4: Simplify right side
    178.83x = 34,067.54
  5. Step 5: Solve for x
    x = 34,067.54/178.83
  6. Step 6: Final answer
    x = 190.50

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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.