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Finding the Fourth Proportional to 256.26, 353.68 and 145.74

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Solution

The fourth proportional to 256.26, 353.68 and 145.74 is: 201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 353.68 = 145.74 : x
  2. Step 2: Convert to fraction form
    256.26/353.68 = 145.74/x
  3. Step 3: Cross multiply
    256.26x = 353.68 × 145.74
  4. Step 4: Simplify right side
    256.26x = 51,545.32
  5. Step 5: Solve for x
    x = 51,545.32/256.26
  6. Step 6: Final answer
    x = 201.14

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Why These Related Problems?

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