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Finding the Fourth Proportional to 256.26, 383.69 and 201.13

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Solution

The fourth proportional to 256.26, 383.69 and 201.13 is: 301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 383.69 = 201.13 : x
  2. Step 2: Convert to fraction form
    256.26/383.69 = 201.13/x
  3. Step 3: Cross multiply
    256.26x = 383.69 × 201.13
  4. Step 4: Simplify right side
    256.26x = 77,171.11
  5. Step 5: Solve for x
    x = 77,171.11/256.26
  6. Step 6: Final answer
    x = 301.14

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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.