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Finding the Fourth Proportional to 316.90, 437.16 and 206.56

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Solution

The fourth proportional to 316.90, 437.16 and 206.56 is: 284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.90 : 437.16 = 206.56 : x
  2. Step 2: Convert to fraction form
    316.90/437.16 = 206.56/x
  3. Step 3: Cross multiply
    316.90x = 437.16 × 206.56
  4. Step 4: Simplify right side
    316.90x = 90,299.77
  5. Step 5: Solve for x
    x = 90,299.77/316.90
  6. Step 6: Final answer
    x = 284.95

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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.