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Finding the Fourth Proportional to 256.55, 384.91 and 110.23

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Solution

The fourth proportional to 256.55, 384.91 and 110.23 is: 165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.55 : 384.91 = 110.23 : x
  2. Step 2: Convert to fraction form
    256.55/384.91 = 110.23/x
  3. Step 3: Cross multiply
    256.55x = 384.91 × 110.23
  4. Step 4: Simplify right side
    256.55x = 42,428.83
  5. Step 5: Solve for x
    x = 42,428.83/256.55
  6. Step 6: Final answer
    x = 165.38

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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.