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Finding the Fourth Proportional to 337.51, 506.34 and 106.43

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Solution

The fourth proportional to 337.51, 506.34 and 106.43 is: 159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.51 : 506.34 = 106.43 : x
  2. Step 2: Convert to fraction form
    337.51/506.34 = 106.43/x
  3. Step 3: Cross multiply
    337.51x = 506.34 × 106.43
  4. Step 4: Simplify right side
    337.51x = 53,889.77
  5. Step 5: Solve for x
    x = 53,889.77/337.51
  6. Step 6: Final answer
    x = 159.67

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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.