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Finding the Fourth Proportional to 256.64, 385.12 and 112.40

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Solution

The fourth proportional to 256.64, 385.12 and 112.40 is: 168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.64 : 385.12 = 112.40 : x
  2. Step 2: Convert to fraction form
    256.64/385.12 = 112.40/x
  3. Step 3: Cross multiply
    256.64x = 385.12 × 112.40
  4. Step 4: Simplify right side
    256.64x = 43,287.49
  5. Step 5: Solve for x
    x = 43,287.49/256.64
  6. Step 6: Final answer
    x = 168.67

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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.