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Finding the Fourth Proportional to 229.68, 342.86 and 190.80

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Solution

The fourth proportional to 229.68, 342.86 and 190.80 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 342.86 = 190.80 : x
  2. Step 2: Convert to fraction form
    229.68/342.86 = 190.80/x
  3. Step 3: Cross multiply
    229.68x = 342.86 × 190.80
  4. Step 4: Simplify right side
    229.68x = 65,416.73
  5. Step 5: Solve for x
    x = 65,416.73/229.68
  6. Step 6: Final answer
    x = 284.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.