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Finding the Fourth Proportional to 178.10, 267.26 and 117.26

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Solution

The fourth proportional to 178.10, 267.26 and 117.26 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 267.26 = 117.26 : x
  2. Step 2: Convert to fraction form
    178.10/267.26 = 117.26/x
  3. Step 3: Cross multiply
    178.10x = 267.26 × 117.26
  4. Step 4: Simplify right side
    178.10x = 31,338.99
  5. Step 5: Solve for x
    x = 31,338.99/178.10
  6. Step 6: Final answer
    x = 175.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.