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Finding the Fourth Proportional to 178.36, 266.87 and 154.26

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Solution

The fourth proportional to 178.36, 266.87 and 154.26 is: 230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.36 : 266.87 = 154.26 : x
  2. Step 2: Convert to fraction form
    178.36/266.87 = 154.26/x
  3. Step 3: Cross multiply
    178.36x = 266.87 × 154.26
  4. Step 4: Simplify right side
    178.36x = 41,167.75
  5. Step 5: Solve for x
    x = 41,167.75/178.36
  6. Step 6: Final answer
    x = 230.82

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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.