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Finding the Fourth Proportional to 256.68, 354.22 and 151.78

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Solution

The fourth proportional to 256.68, 354.22 and 151.78 is: 209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.68 : 354.22 = 151.78 : x
  2. Step 2: Convert to fraction form
    256.68/354.22 = 151.78/x
  3. Step 3: Cross multiply
    256.68x = 354.22 × 151.78
  4. Step 4: Simplify right side
    256.68x = 53,763.51
  5. Step 5: Solve for x
    x = 53,763.51/256.68
  6. Step 6: Final answer
    x = 209.46

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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.