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Finding the Fourth Proportional to 255.96, 383.95 and 195.46

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Solution

The fourth proportional to 255.96, 383.95 and 195.46 is: 293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 383.95 = 195.46 : x
  2. Step 2: Convert to fraction form
    255.96/383.95 = 195.46/x
  3. Step 3: Cross multiply
    255.96x = 383.95 × 195.46
  4. Step 4: Simplify right side
    255.96x = 75,045.42
  5. Step 5: Solve for x
    x = 75,045.42/255.96
  6. Step 6: Final answer
    x = 293.20

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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.