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Finding the Fourth Proportional to 256.83, 354.15 and 219.84

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Solution

The fourth proportional to 256.83, 354.15 and 219.84 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.83 : 354.15 = 219.84 : x
  2. Step 2: Convert to fraction form
    256.83/354.15 = 219.84/x
  3. Step 3: Cross multiply
    256.83x = 354.15 × 219.84
  4. Step 4: Simplify right side
    256.83x = 77,856.34
  5. Step 5: Solve for x
    x = 77,856.34/256.83
  6. Step 6: Final answer
    x = 303.14

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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.