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Finding the Fourth Proportional to 256.15, 353.81 and 222.89

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Solution

The fourth proportional to 256.15, 353.81 and 222.89 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.15 : 353.81 = 222.89 : x
  2. Step 2: Convert to fraction form
    256.15/353.81 = 222.89/x
  3. Step 3: Cross multiply
    256.15x = 353.81 × 222.89
  4. Step 4: Simplify right side
    256.15x = 78,860.71
  5. Step 5: Solve for x
    x = 78,860.71/256.15
  6. Step 6: Final answer
    x = 307.87

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