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Finding the Fourth Proportional to 178.14, 266.76 and 142.14

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Solution

The fourth proportional to 178.14, 266.76 and 142.14 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.14 : 266.76 = 142.14 : x
  2. Step 2: Convert to fraction form
    178.14/266.76 = 142.14/x
  3. Step 3: Cross multiply
    178.14x = 266.76 × 142.14
  4. Step 4: Simplify right side
    178.14x = 37,917.27
  5. Step 5: Solve for x
    x = 37,917.27/178.14
  6. Step 6: Final answer
    x = 212.85

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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.