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Finding the Fourth Proportional to 256.37, 384.59 and 110.14

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Solution

The fourth proportional to 256.37, 384.59 and 110.14 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.37 : 384.59 = 110.14 : x
  2. Step 2: Convert to fraction form
    256.37/384.59 = 110.14/x
  3. Step 3: Cross multiply
    256.37x = 384.59 × 110.14
  4. Step 4: Simplify right side
    256.37x = 42,359.91
  5. Step 5: Solve for x
    x = 42,359.91/256.37
  6. Step 6: Final answer
    x = 165.23

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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.