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Finding the Fourth Proportional to 233.16, 347.85 and 212.22

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Solution

The fourth proportional to 233.16, 347.85 and 212.22 is: 316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 347.85 = 212.22 : x
  2. Step 2: Convert to fraction form
    233.16/347.85 = 212.22/x
  3. Step 3: Cross multiply
    233.16x = 347.85 × 212.22
  4. Step 4: Simplify right side
    233.16x = 73,820.73
  5. Step 5: Solve for x
    x = 73,820.73/233.16
  6. Step 6: Final answer
    x = 316.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.