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Finding the Fourth Proportional to 335.86, 503.76 and 119.42

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Solution

The fourth proportional to 335.86, 503.76 and 119.42 is: 179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.86 : 503.76 = 119.42 : x
  2. Step 2: Convert to fraction form
    335.86/503.76 = 119.42/x
  3. Step 3: Cross multiply
    335.86x = 503.76 × 119.42
  4. Step 4: Simplify right side
    335.86x = 60,159.02
  5. Step 5: Solve for x
    x = 60,159.02/335.86
  6. Step 6: Final answer
    x = 179.12

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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.