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Finding the Fourth Proportional to 337.93, 466.54 and 221.69

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Solution

The fourth proportional to 337.93, 466.54 and 221.69 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.93 : 466.54 = 221.69 : x
  2. Step 2: Convert to fraction form
    337.93/466.54 = 221.69/x
  3. Step 3: Cross multiply
    337.93x = 466.54 × 221.69
  4. Step 4: Simplify right side
    337.93x = 103,427.86
  5. Step 5: Solve for x
    x = 103,427.86/337.93
  6. Step 6: Final answer
    x = 306.07

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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.