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Finding the Fourth Proportional to 255.97, 383.75 and 153.30

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Solution

The fourth proportional to 255.97, 383.75 and 153.30 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.97 : 383.75 = 153.30 : x
  2. Step 2: Convert to fraction form
    255.97/383.75 = 153.30/x
  3. Step 3: Cross multiply
    255.97x = 383.75 × 153.30
  4. Step 4: Simplify right side
    255.97x = 58,828.88
  5. Step 5: Solve for x
    x = 58,828.88/255.97
  6. Step 6: Final answer
    x = 229.83

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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.