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Finding the Fourth Proportional to 211.29, 316.95 and 57.21

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Solution

The fourth proportional to 211.29, 316.95 and 57.21 is: 85.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.29 : 316.95 = 57.21 : x
  2. Step 2: Convert to fraction form
    211.29/316.95 = 57.21/x
  3. Step 3: Cross multiply
    211.29x = 316.95 × 57.21
  4. Step 4: Simplify right side
    211.29x = 18,132.71
  5. Step 5: Solve for x
    x = 18,132.71/211.29
  6. Step 6: Final answer
    x = 85.82

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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.