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Finding the Fourth Proportional to 265.48, 398.04 and 188.44

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Solution

The fourth proportional to 265.48, 398.04 and 188.44 is: 282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 398.04 = 188.44 : x
  2. Step 2: Convert to fraction form
    265.48/398.04 = 188.44/x
  3. Step 3: Cross multiply
    265.48x = 398.04 × 188.44
  4. Step 4: Simplify right side
    265.48x = 75,006.66
  5. Step 5: Solve for x
    x = 75,006.66/265.48
  6. Step 6: Final answer
    x = 282.53

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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.