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Finding the Fourth Proportional to 335.43, 503.20 and 116.08

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Solution

The fourth proportional to 335.43, 503.20 and 116.08 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.43 : 503.20 = 116.08 : x
  2. Step 2: Convert to fraction form
    335.43/503.20 = 116.08/x
  3. Step 3: Cross multiply
    335.43x = 503.20 × 116.08
  4. Step 4: Simplify right side
    335.43x = 58,411.46
  5. Step 5: Solve for x
    x = 58,411.46/335.43
  6. Step 6: Final answer
    x = 174.14

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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.