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Finding the Fourth Proportional to 357.06, 535.74 and 140.82

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Solution

The fourth proportional to 357.06, 535.74 and 140.82 is: 211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.06 : 535.74 = 140.82 : x
  2. Step 2: Convert to fraction form
    357.06/535.74 = 140.82/x
  3. Step 3: Cross multiply
    357.06x = 535.74 × 140.82
  4. Step 4: Simplify right side
    357.06x = 75,442.91
  5. Step 5: Solve for x
    x = 75,442.91/357.06
  6. Step 6: Final answer
    x = 211.29

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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.