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Finding the Fourth Proportional to 256.88, 354.05 and 185.99

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Solution

The fourth proportional to 256.88, 354.05 and 185.99 is: 256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.88 : 354.05 = 185.99 : x
  2. Step 2: Convert to fraction form
    256.88/354.05 = 185.99/x
  3. Step 3: Cross multiply
    256.88x = 354.05 × 185.99
  4. Step 4: Simplify right side
    256.88x = 65,847.76
  5. Step 5: Solve for x
    x = 65,847.76/256.88
  6. Step 6: Final answer
    x = 256.33

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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.