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Finding the Fourth Proportional to 255.38, 383.25 and 183.02

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Solution

The fourth proportional to 255.38, 383.25 and 183.02 is: 274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.38 : 383.25 = 183.02 : x
  2. Step 2: Convert to fraction form
    255.38/383.25 = 183.02/x
  3. Step 3: Cross multiply
    255.38x = 383.25 × 183.02
  4. Step 4: Simplify right side
    255.38x = 70,142.42
  5. Step 5: Solve for x
    x = 70,142.42/255.38
  6. Step 6: Final answer
    x = 274.66

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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.