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Finding the Fourth Proportional to 178.60, 266.69 and 154.60

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Solution

The fourth proportional to 178.60, 266.69 and 154.60 is: 230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.60 : 266.69 = 154.60 : x
  2. Step 2: Convert to fraction form
    178.60/266.69 = 154.60/x
  3. Step 3: Cross multiply
    178.60x = 266.69 × 154.60
  4. Step 4: Simplify right side
    178.60x = 41,230.27
  5. Step 5: Solve for x
    x = 41,230.27/178.60
  6. Step 6: Final answer
    x = 230.85

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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.