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Finding the Fourth Proportional to 255.67, 384.11 and 164.55

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Solution

The fourth proportional to 255.67, 384.11 and 164.55 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.67 : 384.11 = 164.55 : x
  2. Step 2: Convert to fraction form
    255.67/384.11 = 164.55/x
  3. Step 3: Cross multiply
    255.67x = 384.11 × 164.55
  4. Step 4: Simplify right side
    255.67x = 63,205.30
  5. Step 5: Solve for x
    x = 63,205.30/255.67
  6. Step 6: Final answer
    x = 247.21

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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.