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Finding the Fourth Proportional to 335.66, 502.84 and 173.46

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Solution

The fourth proportional to 335.66, 502.84 and 173.46 is: 259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.66 : 502.84 = 173.46 : x
  2. Step 2: Convert to fraction form
    335.66/502.84 = 173.46/x
  3. Step 3: Cross multiply
    335.66x = 502.84 × 173.46
  4. Step 4: Simplify right side
    335.66x = 87,222.63
  5. Step 5: Solve for x
    x = 87,222.63/335.66
  6. Step 6: Final answer
    x = 259.85

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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.