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Finding the Fourth Proportional to 178.09, 266.95 and 75.43

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Solution

The fourth proportional to 178.09, 266.95 and 75.43 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.09 : 266.95 = 75.43 : x
  2. Step 2: Convert to fraction form
    178.09/266.95 = 75.43/x
  3. Step 3: Cross multiply
    178.09x = 266.95 × 75.43
  4. Step 4: Simplify right side
    178.09x = 20,136.04
  5. Step 5: Solve for x
    x = 20,136.04/178.09
  6. Step 6: Final answer
    x = 113.07

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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.