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Finding the Fourth Proportional to 335.36, 503.01 and 142.98

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Solution

The fourth proportional to 335.36, 503.01 and 142.98 is: 214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.36 : 503.01 = 142.98 : x
  2. Step 2: Convert to fraction form
    335.36/503.01 = 142.98/x
  3. Step 3: Cross multiply
    335.36x = 503.01 × 142.98
  4. Step 4: Simplify right side
    335.36x = 71,920.37
  5. Step 5: Solve for x
    x = 71,920.37/335.36
  6. Step 6: Final answer
    x = 214.46

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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.