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Finding the Fourth Proportional to 357.15, 535.46 and 140.61

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Solution

The fourth proportional to 357.15, 535.46 and 140.61 is: 210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.15 : 535.46 = 140.61 : x
  2. Step 2: Convert to fraction form
    357.15/535.46 = 140.61/x
  3. Step 3: Cross multiply
    357.15x = 535.46 × 140.61
  4. Step 4: Simplify right side
    357.15x = 75,290.33
  5. Step 5: Solve for x
    x = 75,290.33/357.15
  6. Step 6: Final answer
    x = 210.81

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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.