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Finding the Fourth Proportional to 178.88, 268.34 and 70.72

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Solution

The fourth proportional to 178.88, 268.34 and 70.72 is: 106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 268.34 = 70.72 : x
  2. Step 2: Convert to fraction form
    178.88/268.34 = 70.72/x
  3. Step 3: Cross multiply
    178.88x = 268.34 × 70.72
  4. Step 4: Simplify right side
    178.88x = 18,977.00
  5. Step 5: Solve for x
    x = 18,977.00/178.88
  6. Step 6: Final answer
    x = 106.09

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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.