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Finding the Fourth Proportional to 265.22, 397.68 and 188.66

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Solution

The fourth proportional to 265.22, 397.68 and 188.66 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.22 : 397.68 = 188.66 : x
  2. Step 2: Convert to fraction form
    265.22/397.68 = 188.66/x
  3. Step 3: Cross multiply
    265.22x = 397.68 × 188.66
  4. Step 4: Simplify right side
    265.22x = 75,026.31
  5. Step 5: Solve for x
    x = 75,026.31/265.22
  6. Step 6: Final answer
    x = 282.88

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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.