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Finding the Fourth Proportional to 178.05, 266.58 and 169.23

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Solution

The fourth proportional to 178.05, 266.58 and 169.23 is: 253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.05 : 266.58 = 169.23 : x
  2. Step 2: Convert to fraction form
    178.05/266.58 = 169.23/x
  3. Step 3: Cross multiply
    178.05x = 266.58 × 169.23
  4. Step 4: Simplify right side
    178.05x = 45,113.33
  5. Step 5: Solve for x
    x = 45,113.33/178.05
  6. Step 6: Final answer
    x = 253.37

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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.