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Finding the Fourth Proportional to 256.41, 384.35 and 102.20

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Solution

The fourth proportional to 256.41, 384.35 and 102.20 is: 153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.41 : 384.35 = 102.20 : x
  2. Step 2: Convert to fraction form
    256.41/384.35 = 102.20/x
  3. Step 3: Cross multiply
    256.41x = 384.35 × 102.20
  4. Step 4: Simplify right side
    256.41x = 39,278.14
  5. Step 5: Solve for x
    x = 39,278.14/256.41
  6. Step 6: Final answer
    x = 153.18

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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.