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Finding the Fourth Proportional to 177.64, 266.26 and 74.89

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Solution

The fourth proportional to 177.64, 266.26 and 74.89 is: 112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.64 : 266.26 = 74.89 : x
  2. Step 2: Convert to fraction form
    177.64/266.26 = 74.89/x
  3. Step 3: Cross multiply
    177.64x = 266.26 × 74.89
  4. Step 4: Simplify right side
    177.64x = 19,940.21
  5. Step 5: Solve for x
    x = 19,940.21/177.64
  6. Step 6: Final answer
    x = 112.25

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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.