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Finding the Fourth Proportional to 332.93, 499.41 and 140.57

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Solution

The fourth proportional to 332.93, 499.41 and 140.57 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.93 : 499.41 = 140.57 : x
  2. Step 2: Convert to fraction form
    332.93/499.41 = 140.57/x
  3. Step 3: Cross multiply
    332.93x = 499.41 × 140.57
  4. Step 4: Simplify right side
    332.93x = 70,202.06
  5. Step 5: Solve for x
    x = 70,202.06/332.93
  6. Step 6: Final answer
    x = 210.86

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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.