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Finding the Fourth Proportional to 178.71, 266.67 and 141.73

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Solution

The fourth proportional to 178.71, 266.67 and 141.73 is: 211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.71 : 266.67 = 141.73 : x
  2. Step 2: Convert to fraction form
    178.71/266.67 = 141.73/x
  3. Step 3: Cross multiply
    178.71x = 266.67 × 141.73
  4. Step 4: Simplify right side
    178.71x = 37,795.14
  5. Step 5: Solve for x
    x = 37,795.14/178.71
  6. Step 6: Final answer
    x = 211.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.