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Finding the Fourth Proportional to 332.68, 499.14 and 140.26

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Solution

The fourth proportional to 332.68, 499.14 and 140.26 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.68 : 499.14 = 140.26 : x
  2. Step 2: Convert to fraction form
    332.68/499.14 = 140.26/x
  3. Step 3: Cross multiply
    332.68x = 499.14 × 140.26
  4. Step 4: Simplify right side
    332.68x = 70,009.38
  5. Step 5: Solve for x
    x = 70,009.38/332.68
  6. Step 6: Final answer
    x = 210.44

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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.