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Finding the Fourth Proportional to 255.32, 381.80 and 190.36

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Solution

The fourth proportional to 255.32, 381.80 and 190.36 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.32 : 381.80 = 190.36 : x
  2. Step 2: Convert to fraction form
    255.32/381.80 = 190.36/x
  3. Step 3: Cross multiply
    255.32x = 381.80 × 190.36
  4. Step 4: Simplify right side
    255.32x = 72,677.54
  5. Step 5: Solve for x
    x = 72,677.54/255.32
  6. Step 6: Final answer
    x = 284.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.