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Finding the Fourth Proportional to 265.68, 398.85 and 174.09

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Solution

The fourth proportional to 265.68, 398.85 and 174.09 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.68 : 398.85 = 174.09 : x
  2. Step 2: Convert to fraction form
    265.68/398.85 = 174.09/x
  3. Step 3: Cross multiply
    265.68x = 398.85 × 174.09
  4. Step 4: Simplify right side
    265.68x = 69,435.80
  5. Step 5: Solve for x
    x = 69,435.80/265.68
  6. Step 6: Final answer
    x = 261.35

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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.