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Finding the Fourth Proportional to 256.23, 352.83 and 219.36

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Solution

The fourth proportional to 256.23, 352.83 and 219.36 is: 302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 352.83 = 219.36 : x
  2. Step 2: Convert to fraction form
    256.23/352.83 = 219.36/x
  3. Step 3: Cross multiply
    256.23x = 352.83 × 219.36
  4. Step 4: Simplify right side
    256.23x = 77,396.79
  5. Step 5: Solve for x
    x = 77,396.79/256.23
  6. Step 6: Final answer
    x = 302.06

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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.