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Finding the Fourth Proportional to 335.19, 502.85 and 142.81

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Solution

The fourth proportional to 335.19, 502.85 and 142.81 is: 214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.19 : 502.85 = 142.81 : x
  2. Step 2: Convert to fraction form
    335.19/502.85 = 142.81/x
  3. Step 3: Cross multiply
    335.19x = 502.85 × 142.81
  4. Step 4: Simplify right side
    335.19x = 71,812.01
  5. Step 5: Solve for x
    x = 71,812.01/335.19
  6. Step 6: Final answer
    x = 214.24

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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.