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Finding the Fourth Proportional to 256.04, 384.06 and 111.76

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Solution

The fourth proportional to 256.04, 384.06 and 111.76 is: 167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 384.06 = 111.76 : x
  2. Step 2: Convert to fraction form
    256.04/384.06 = 111.76/x
  3. Step 3: Cross multiply
    256.04x = 384.06 × 111.76
  4. Step 4: Simplify right side
    256.04x = 42,922.55
  5. Step 5: Solve for x
    x = 42,922.55/256.04
  6. Step 6: Final answer
    x = 167.64

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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.