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Finding the Fourth Proportional to 335.22, 502.95 and 140.32

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Solution

The fourth proportional to 335.22, 502.95 and 140.32 is: 210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.22 : 502.95 = 140.32 : x
  2. Step 2: Convert to fraction form
    335.22/502.95 = 140.32/x
  3. Step 3: Cross multiply
    335.22x = 502.95 × 140.32
  4. Step 4: Simplify right side
    335.22x = 70,573.94
  5. Step 5: Solve for x
    x = 70,573.94/335.22
  6. Step 6: Final answer
    x = 210.53

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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.