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Finding the Fourth Proportional to 256.65, 384.82 and 108.23

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Solution

The fourth proportional to 256.65, 384.82 and 108.23 is: 162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.65 : 384.82 = 108.23 : x
  2. Step 2: Convert to fraction form
    256.65/384.82 = 108.23/x
  3. Step 3: Cross multiply
    256.65x = 384.82 × 108.23
  4. Step 4: Simplify right side
    256.65x = 41,647.49
  5. Step 5: Solve for x
    x = 41,647.49/256.65
  6. Step 6: Final answer
    x = 162.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.