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Finding the Fourth Proportional to 178.98, 268.07 and 106.70

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Solution

The fourth proportional to 178.98, 268.07 and 106.70 is: 159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.98 : 268.07 = 106.70 : x
  2. Step 2: Convert to fraction form
    178.98/268.07 = 106.70/x
  3. Step 3: Cross multiply
    178.98x = 268.07 × 106.70
  4. Step 4: Simplify right side
    178.98x = 28,603.07
  5. Step 5: Solve for x
    x = 28,603.07/178.98
  6. Step 6: Final answer
    x = 159.81

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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.