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Finding the Fourth Proportional to 235.66, 353.18 and 211.14

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Solution

The fourth proportional to 235.66, 353.18 and 211.14 is: 316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.66 : 353.18 = 211.14 : x
  2. Step 2: Convert to fraction form
    235.66/353.18 = 211.14/x
  3. Step 3: Cross multiply
    235.66x = 353.18 × 211.14
  4. Step 4: Simplify right side
    235.66x = 74,570.43
  5. Step 5: Solve for x
    x = 74,570.43/235.66
  6. Step 6: Final answer
    x = 316.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.