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Finding the Fourth Proportional to 178.94, 268.56 and 97.83

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Solution

The fourth proportional to 178.94, 268.56 and 97.83 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.94 : 268.56 = 97.83 : x
  2. Step 2: Convert to fraction form
    178.94/268.56 = 97.83/x
  3. Step 3: Cross multiply
    178.94x = 268.56 × 97.83
  4. Step 4: Simplify right side
    178.94x = 26,273.22
  5. Step 5: Solve for x
    x = 26,273.22/178.94
  6. Step 6: Final answer
    x = 146.82

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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.