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Finding the Fourth Proportional to 335.68, 503.40 and 140.68

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Solution

The fourth proportional to 335.68, 503.40 and 140.68 is: 210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.68 : 503.40 = 140.68 : x
  2. Step 2: Convert to fraction form
    335.68/503.40 = 140.68/x
  3. Step 3: Cross multiply
    335.68x = 503.40 × 140.68
  4. Step 4: Simplify right side
    335.68x = 70,818.31
  5. Step 5: Solve for x
    x = 70,818.31/335.68
  6. Step 6: Final answer
    x = 210.97

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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.