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Finding the Fourth Proportional to 345.20, 476.08 and 220.86

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Solution

The fourth proportional to 345.20, 476.08 and 220.86 is: 304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.20 : 476.08 = 220.86 : x
  2. Step 2: Convert to fraction form
    345.20/476.08 = 220.86/x
  3. Step 3: Cross multiply
    345.20x = 476.08 × 220.86
  4. Step 4: Simplify right side
    345.20x = 105,147.03
  5. Step 5: Solve for x
    x = 105,147.03/345.20
  6. Step 6: Final answer
    x = 304.60

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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.