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Finding the Fourth Proportional to 255.84, 381.67 and 254.01

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Solution

The fourth proportional to 255.84, 381.67 and 254.01 is: 378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 381.67 = 254.01 : x
  2. Step 2: Convert to fraction form
    255.84/381.67 = 254.01/x
  3. Step 3: Cross multiply
    255.84x = 381.67 × 254.01
  4. Step 4: Simplify right side
    255.84x = 96,948.00
  5. Step 5: Solve for x
    x = 96,948.00/255.84
  6. Step 6: Final answer
    x = 378.94

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