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Finding the Fourth Proportional to 178.44, 266.34 and 155.70

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Solution

The fourth proportional to 178.44, 266.34 and 155.70 is: 232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 266.34 = 155.70 : x
  2. Step 2: Convert to fraction form
    178.44/266.34 = 155.70/x
  3. Step 3: Cross multiply
    178.44x = 266.34 × 155.70
  4. Step 4: Simplify right side
    178.44x = 41,469.14
  5. Step 5: Solve for x
    x = 41,469.14/178.44
  6. Step 6: Final answer
    x = 232.40

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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.