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Finding the Fourth Proportional to 178.69, 268.04 and 68.98

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Solution

The fourth proportional to 178.69, 268.04 and 68.98 is: 103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.69 : 268.04 = 68.98 : x
  2. Step 2: Convert to fraction form
    178.69/268.04 = 68.98/x
  3. Step 3: Cross multiply
    178.69x = 268.04 × 68.98
  4. Step 4: Simplify right side
    178.69x = 18,489.40
  5. Step 5: Solve for x
    x = 18,489.40/178.69
  6. Step 6: Final answer
    x = 103.47

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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.