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Finding the Fourth Proportional to 256.26, 353.64 and 145.72

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Solution

The fourth proportional to 256.26, 353.64 and 145.72 is: 201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 353.64 = 145.72 : x
  2. Step 2: Convert to fraction form
    256.26/353.64 = 145.72/x
  3. Step 3: Cross multiply
    256.26x = 353.64 × 145.72
  4. Step 4: Simplify right side
    256.26x = 51,532.42
  5. Step 5: Solve for x
    x = 51,532.42/256.26
  6. Step 6: Final answer
    x = 201.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.