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Finding the Fourth Proportional to 178.05, 266.91 and 96.81

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Solution

The fourth proportional to 178.05, 266.91 and 96.81 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.05 : 266.91 = 96.81 : x
  2. Step 2: Convert to fraction form
    178.05/266.91 = 96.81/x
  3. Step 3: Cross multiply
    178.05x = 266.91 × 96.81
  4. Step 4: Simplify right side
    178.05x = 25,839.56
  5. Step 5: Solve for x
    x = 25,839.56/178.05
  6. Step 6: Final answer
    x = 145.13

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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.