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Finding the Fourth Proportional to 337.64, 466.08 and 219.66

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Solution

The fourth proportional to 337.64, 466.08 and 219.66 is: 303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.64 : 466.08 = 219.66 : x
  2. Step 2: Convert to fraction form
    337.64/466.08 = 219.66/x
  3. Step 3: Cross multiply
    337.64x = 466.08 × 219.66
  4. Step 4: Simplify right side
    337.64x = 102,379.13
  5. Step 5: Solve for x
    x = 102,379.13/337.64
  6. Step 6: Final answer
    x = 303.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.