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Finding the Fourth Proportional to 178.26, 267.50 and 70.03

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Solution

The fourth proportional to 178.26, 267.50 and 70.03 is: 105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.26 : 267.50 = 70.03 : x
  2. Step 2: Convert to fraction form
    178.26/267.50 = 70.03/x
  3. Step 3: Cross multiply
    178.26x = 267.50 × 70.03
  4. Step 4: Simplify right side
    178.26x = 18,733.03
  5. Step 5: Solve for x
    x = 18,733.03/178.26
  6. Step 6: Final answer
    x = 105.09

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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.