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Finding the Fourth Proportional to 256.19, 384.30 and 102.20

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Solution

The fourth proportional to 256.19, 384.30 and 102.20 is: 153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.19 : 384.30 = 102.20 : x
  2. Step 2: Convert to fraction form
    256.19/384.30 = 102.20/x
  3. Step 3: Cross multiply
    256.19x = 384.30 × 102.20
  4. Step 4: Simplify right side
    256.19x = 39,273.54
  5. Step 5: Solve for x
    x = 39,273.54/256.19
  6. Step 6: Final answer
    x = 153.30

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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.