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Finding the Fourth Proportional to 265.85, 398.12 and 174.45

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Solution

The fourth proportional to 265.85, 398.12 and 174.45 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.85 : 398.12 = 174.45 : x
  2. Step 2: Convert to fraction form
    265.85/398.12 = 174.45/x
  3. Step 3: Cross multiply
    265.85x = 398.12 × 174.45
  4. Step 4: Simplify right side
    265.85x = 69,451.16
  5. Step 5: Solve for x
    x = 69,451.16/265.85
  6. Step 6: Final answer
    x = 261.25

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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.