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Finding the Fourth Proportional to 335.13, 502.71 and 104.01

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Solution

The fourth proportional to 335.13, 502.71 and 104.01 is: 156.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.13 : 502.71 = 104.01 : x
  2. Step 2: Convert to fraction form
    335.13/502.71 = 104.01/x
  3. Step 3: Cross multiply
    335.13x = 502.71 × 104.01
  4. Step 4: Simplify right side
    335.13x = 52,286.87
  5. Step 5: Solve for x
    x = 52,286.87/335.13
  6. Step 6: Final answer
    x = 156.02

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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.