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Finding the Fourth Proportional to 256.64, 384.95 and 110.37

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Solution

The fourth proportional to 256.64, 384.95 and 110.37 is: 165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.64 : 384.95 = 110.37 : x
  2. Step 2: Convert to fraction form
    256.64/384.95 = 110.37/x
  3. Step 3: Cross multiply
    256.64x = 384.95 × 110.37
  4. Step 4: Simplify right side
    256.64x = 42,486.93
  5. Step 5: Solve for x
    x = 42,486.93/256.64
  6. Step 6: Final answer
    x = 165.55

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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.