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Finding the Fourth Proportional to 255.36, 383.06 and 169.25

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Solution

The fourth proportional to 255.36, 383.06 and 169.25 is: 253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.36 : 383.06 = 169.25 : x
  2. Step 2: Convert to fraction form
    255.36/383.06 = 169.25/x
  3. Step 3: Cross multiply
    255.36x = 383.06 × 169.25
  4. Step 4: Simplify right side
    255.36x = 64,830.14
  5. Step 5: Solve for x
    x = 64,830.14/255.36
  6. Step 6: Final answer
    x = 253.88

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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.