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Finding the Fourth Proportional to 335.64, 503.04 and 160.03

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Solution

The fourth proportional to 335.64, 503.04 and 160.03 is: 239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.64 : 503.04 = 160.03 : x
  2. Step 2: Convert to fraction form
    335.64/503.04 = 160.03/x
  3. Step 3: Cross multiply
    335.64x = 503.04 × 160.03
  4. Step 4: Simplify right side
    335.64x = 80,501.23
  5. Step 5: Solve for x
    x = 80,501.23/335.64
  6. Step 6: Final answer
    x = 239.85

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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.