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Finding the Fourth Proportional to 229.60, 345.00 and 223.83

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Solution

The fourth proportional to 229.60, 345.00 and 223.83 is: 336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.60 : 345.00 = 223.83 : x
  2. Step 2: Convert to fraction form
    229.60/345.00 = 223.83/x
  3. Step 3: Cross multiply
    229.60x = 345.00 × 223.83
  4. Step 4: Simplify right side
    229.60x = 77,220.58
  5. Step 5: Solve for x
    x = 77,220.58/229.60
  6. Step 6: Final answer
    x = 336.33

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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.