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Finding the Fourth Proportional to 256.34, 384.69 and 140.84

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Solution

The fourth proportional to 256.34, 384.69 and 140.84 is: 211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.34 : 384.69 = 140.84 : x
  2. Step 2: Convert to fraction form
    256.34/384.69 = 140.84/x
  3. Step 3: Cross multiply
    256.34x = 384.69 × 140.84
  4. Step 4: Simplify right side
    256.34x = 54,179.74
  5. Step 5: Solve for x
    x = 54,179.74/256.34
  6. Step 6: Final answer
    x = 211.36

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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.