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Finding the Fourth Proportional to 316.12, 474.58 and 212.66

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Solution

The fourth proportional to 316.12, 474.58 and 212.66 is: 319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.12 : 474.58 = 212.66 : x
  2. Step 2: Convert to fraction form
    316.12/474.58 = 212.66/x
  3. Step 3: Cross multiply
    316.12x = 474.58 × 212.66
  4. Step 4: Simplify right side
    316.12x = 100,924.31
  5. Step 5: Solve for x
    x = 100,924.31/316.12
  6. Step 6: Final answer
    x = 319.26

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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.