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Finding the Fourth Proportional to 253.73, 380.08 and 188.80

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Solution

The fourth proportional to 253.73, 380.08 and 188.80 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.73 : 380.08 = 188.80 : x
  2. Step 2: Convert to fraction form
    253.73/380.08 = 188.80/x
  3. Step 3: Cross multiply
    253.73x = 380.08 × 188.80
  4. Step 4: Simplify right side
    253.73x = 71,759.10
  5. Step 5: Solve for x
    x = 71,759.10/253.73
  6. Step 6: Final answer
    x = 282.82

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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.