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Finding the Fourth Proportional to 264.43, 364.85 and 177.04

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Solution

The fourth proportional to 264.43, 364.85 and 177.04 is: 244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.43 : 364.85 = 177.04 : x
  2. Step 2: Convert to fraction form
    264.43/364.85 = 177.04/x
  3. Step 3: Cross multiply
    264.43x = 364.85 × 177.04
  4. Step 4: Simplify right side
    264.43x = 64,591.22
  5. Step 5: Solve for x
    x = 64,591.22/264.43
  6. Step 6: Final answer
    x = 244.27

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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.