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Finding the Fourth Proportional to 177.82, 266.68 and 75.10

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Solution

The fourth proportional to 177.82, 266.68 and 75.10 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.82 : 266.68 = 75.10 : x
  2. Step 2: Convert to fraction form
    177.82/266.68 = 75.10/x
  3. Step 3: Cross multiply
    177.82x = 266.68 × 75.10
  4. Step 4: Simplify right side
    177.82x = 20,028.24
  5. Step 5: Solve for x
    x = 20,028.24/177.82
  6. Step 6: Final answer
    x = 112.63

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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.