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Finding the Fourth Proportional to 345.14, 475.92 and 220.80

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Solution

The fourth proportional to 345.14, 475.92 and 220.80 is: 304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.14 : 475.92 = 220.80 : x
  2. Step 2: Convert to fraction form
    345.14/475.92 = 220.80/x
  3. Step 3: Cross multiply
    345.14x = 475.92 × 220.80
  4. Step 4: Simplify right side
    345.14x = 105,083.14
  5. Step 5: Solve for x
    x = 105,083.14/345.14
  6. Step 6: Final answer
    x = 304.47

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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.