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Finding the Fourth Proportional to 316.82, 437.29 and 206.11

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Solution

The fourth proportional to 316.82, 437.29 and 206.11 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.82 : 437.29 = 206.11 : x
  2. Step 2: Convert to fraction form
    316.82/437.29 = 206.11/x
  3. Step 3: Cross multiply
    316.82x = 437.29 × 206.11
  4. Step 4: Simplify right side
    316.82x = 90,128.23
  5. Step 5: Solve for x
    x = 90,128.23/316.82
  6. Step 6: Final answer
    x = 284.48

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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.