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Finding the Fourth Proportional to 177.34, 266.22 and 176.56

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Solution

The fourth proportional to 177.34, 266.22 and 176.56 is: 265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.34 : 266.22 = 176.56 : x
  2. Step 2: Convert to fraction form
    177.34/266.22 = 176.56/x
  3. Step 3: Cross multiply
    177.34x = 266.22 × 176.56
  4. Step 4: Simplify right side
    177.34x = 47,003.80
  5. Step 5: Solve for x
    x = 47,003.80/177.34
  6. Step 6: Final answer
    x = 265.05

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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.