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Finding the Fourth Proportional to 256.42, 384.72 and 110.26

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Solution

The fourth proportional to 256.42, 384.72 and 110.26 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 384.72 = 110.26 : x
  2. Step 2: Convert to fraction form
    256.42/384.72 = 110.26/x
  3. Step 3: Cross multiply
    256.42x = 384.72 × 110.26
  4. Step 4: Simplify right side
    256.42x = 42,419.23
  5. Step 5: Solve for x
    x = 42,419.23/256.42
  6. Step 6: Final answer
    x = 165.43

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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.