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Finding the Fourth Proportional to 337.21, 506.73 and 175

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Solution

The fourth proportional to 337.21, 506.73 and 175 is: 262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.21 : 506.73 = 175 : x
  2. Step 2: Convert to fraction form
    337.21/506.73 = 175/x
  3. Step 3: Cross multiply
    337.21x = 506.73 × 175
  4. Step 4: Simplify right side
    337.21x = 88,677.75
  5. Step 5: Solve for x
    x = 88,677.75/337.21
  6. Step 6: Final answer
    x = 262.97

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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.