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Finding the Fourth Proportional to 178.18, 266.74 and 134.75

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Solution

The fourth proportional to 178.18, 266.74 and 134.75 is: 201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.18 : 266.74 = 134.75 : x
  2. Step 2: Convert to fraction form
    178.18/266.74 = 134.75/x
  3. Step 3: Cross multiply
    178.18x = 266.74 × 134.75
  4. Step 4: Simplify right side
    178.18x = 35,942.80
  5. Step 5: Solve for x
    x = 35,942.80/178.18
  6. Step 6: Final answer
    x = 201.72

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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.