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Finding the Fourth Proportional to 316.85, 437.54 and 206.42

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Solution

The fourth proportional to 316.85, 437.54 and 206.42 is: 285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.85 : 437.54 = 206.42 : x
  2. Step 2: Convert to fraction form
    316.85/437.54 = 206.42/x
  3. Step 3: Cross multiply
    316.85x = 437.54 × 206.42
  4. Step 4: Simplify right side
    316.85x = 90,313.79
  5. Step 5: Solve for x
    x = 90,313.79/316.85
  6. Step 6: Final answer
    x = 285.04

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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.