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Finding the Fourth Proportional to 256.29, 353.71 and 145.76

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Solution

The fourth proportional to 256.29, 353.71 and 145.76 is: 201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 353.71 = 145.76 : x
  2. Step 2: Convert to fraction form
    256.29/353.71 = 145.76/x
  3. Step 3: Cross multiply
    256.29x = 353.71 × 145.76
  4. Step 4: Simplify right side
    256.29x = 51,556.04
  5. Step 5: Solve for x
    x = 51,556.04/256.29
  6. Step 6: Final answer
    x = 201.16

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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.