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Finding the Fourth Proportional to 264.57, 365.26 and 177.29

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Solution

The fourth proportional to 264.57, 365.26 and 177.29 is: 244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.57 : 365.26 = 177.29 : x
  2. Step 2: Convert to fraction form
    264.57/365.26 = 177.29/x
  3. Step 3: Cross multiply
    264.57x = 365.26 × 177.29
  4. Step 4: Simplify right side
    264.57x = 64,756.88
  5. Step 5: Solve for x
    x = 64,756.88/264.57
  6. Step 6: Final answer
    x = 244.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.