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Finding the Fourth Proportional to 256.67, 353.19 and 255.07

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Solution

The fourth proportional to 256.67, 353.19 and 255.07 is: 350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.67 : 353.19 = 255.07 : x
  2. Step 2: Convert to fraction form
    256.67/353.19 = 255.07/x
  3. Step 3: Cross multiply
    256.67x = 353.19 × 255.07
  4. Step 4: Simplify right side
    256.67x = 90,088.17
  5. Step 5: Solve for x
    x = 90,088.17/256.67
  6. Step 6: Final answer
    x = 350.99

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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.