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Finding the Fourth Proportional to 256.95, 355.55 and 219.56

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Solution

The fourth proportional to 256.95, 355.55 and 219.56 is: 303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 355.55 = 219.56 : x
  2. Step 2: Convert to fraction form
    256.95/355.55 = 219.56/x
  3. Step 3: Cross multiply
    256.95x = 355.55 × 219.56
  4. Step 4: Simplify right side
    256.95x = 78,061.68
  5. Step 5: Solve for x
    x = 78,061.68/256.95
  6. Step 6: Final answer
    x = 303.80

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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.