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Finding the Fourth Proportional to 337.66, 506.61 and 164.23

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Solution

The fourth proportional to 337.66, 506.61 and 164.23 is: 246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.66 : 506.61 = 164.23 : x
  2. Step 2: Convert to fraction form
    337.66/506.61 = 164.23/x
  3. Step 3: Cross multiply
    337.66x = 506.61 × 164.23
  4. Step 4: Simplify right side
    337.66x = 83,199.74
  5. Step 5: Solve for x
    x = 83,199.74/337.66
  6. Step 6: Final answer
    x = 246.40

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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.