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Finding the Fourth Proportional to 256, 384.05 and 93.70

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Solution

The fourth proportional to 256, 384.05 and 93.70 is: 140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 384.05 = 93.70 : x
  2. Step 2: Convert to fraction form
    256/384.05 = 93.70/x
  3. Step 3: Cross multiply
    256x = 384.05 × 93.70
  4. Step 4: Simplify right side
    256x = 35,985.49
  5. Step 5: Solve for x
    x = 35,985.49/256
  6. Step 6: Final answer
    x = 140.57

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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.