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Finding the Fourth Proportional to 177.65, 266.57 and 80.22

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Solution

The fourth proportional to 177.65, 266.57 and 80.22 is: 120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.65 : 266.57 = 80.22 : x
  2. Step 2: Convert to fraction form
    177.65/266.57 = 80.22/x
  3. Step 3: Cross multiply
    177.65x = 266.57 × 80.22
  4. Step 4: Simplify right side
    177.65x = 21,383.84
  5. Step 5: Solve for x
    x = 21,383.84/177.65
  6. Step 6: Final answer
    x = 120.37

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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.