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Finding the Fourth Proportional to 256.42, 384.66 and 73.82

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Solution

The fourth proportional to 256.42, 384.66 and 73.82 is: 110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 384.66 = 73.82 : x
  2. Step 2: Convert to fraction form
    256.42/384.66 = 73.82/x
  3. Step 3: Cross multiply
    256.42x = 384.66 × 73.82
  4. Step 4: Simplify right side
    256.42x = 28,396.56
  5. Step 5: Solve for x
    x = 28,396.56/256.42
  6. Step 6: Final answer
    x = 110.74

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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.