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Finding the Fourth Proportional to 335.50, 503.07 and 170.80

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Solution

The fourth proportional to 335.50, 503.07 and 170.80 is: 256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.50 : 503.07 = 170.80 : x
  2. Step 2: Convert to fraction form
    335.50/503.07 = 170.80/x
  3. Step 3: Cross multiply
    335.50x = 503.07 × 170.80
  4. Step 4: Simplify right side
    335.50x = 85,924.36
  5. Step 5: Solve for x
    x = 85,924.36/335.50
  6. Step 6: Final answer
    x = 256.11

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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.