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Finding the Fourth Proportional to 256.22, 384.21 and 102.12

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Solution

The fourth proportional to 256.22, 384.21 and 102.12 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.22 : 384.21 = 102.12 : x
  2. Step 2: Convert to fraction form
    256.22/384.21 = 102.12/x
  3. Step 3: Cross multiply
    256.22x = 384.21 × 102.12
  4. Step 4: Simplify right side
    256.22x = 39,235.53
  5. Step 5: Solve for x
    x = 39,235.53/256.22
  6. Step 6: Final answer
    x = 153.14

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Why These Related Problems?

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