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Finding the Fourth Proportional to 255.64, 383.31 and 93.25

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Solution

The fourth proportional to 255.64, 383.31 and 93.25 is: 139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.64 : 383.31 = 93.25 : x
  2. Step 2: Convert to fraction form
    255.64/383.31 = 93.25/x
  3. Step 3: Cross multiply
    255.64x = 383.31 × 93.25
  4. Step 4: Simplify right side
    255.64x = 35,743.66
  5. Step 5: Solve for x
    x = 35,743.66/255.64
  6. Step 6: Final answer
    x = 139.82

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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.