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Finding the Fourth Proportional to 348.06, 521.82 and 211.14

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Solution

The fourth proportional to 348.06, 521.82 and 211.14 is: 316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.06 : 521.82 = 211.14 : x
  2. Step 2: Convert to fraction form
    348.06/521.82 = 211.14/x
  3. Step 3: Cross multiply
    348.06x = 521.82 × 211.14
  4. Step 4: Simplify right side
    348.06x = 110,177.07
  5. Step 5: Solve for x
    x = 110,177.07/348.06
  6. Step 6: Final answer
    x = 316.55

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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.