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Finding the Fourth Proportional to 177.63, 266.26 and 74.97

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Solution

The fourth proportional to 177.63, 266.26 and 74.97 is: 112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.63 : 266.26 = 74.97 : x
  2. Step 2: Convert to fraction form
    177.63/266.26 = 74.97/x
  3. Step 3: Cross multiply
    177.63x = 266.26 × 74.97
  4. Step 4: Simplify right side
    177.63x = 19,961.51
  5. Step 5: Solve for x
    x = 19,961.51/177.63
  6. Step 6: Final answer
    x = 112.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.