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Finding the Fourth Proportional to 335.78, 503.23 and 160.02

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Solution

The fourth proportional to 335.78, 503.23 and 160.02 is: 239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 503.23 = 160.02 : x
  2. Step 2: Convert to fraction form
    335.78/503.23 = 160.02/x
  3. Step 3: Cross multiply
    335.78x = 503.23 × 160.02
  4. Step 4: Simplify right side
    335.78x = 80,526.86
  5. Step 5: Solve for x
    x = 80,526.86/335.78
  6. Step 6: Final answer
    x = 239.82

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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.