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Finding the Fourth Proportional to 256.58, 384.61 and 110.42

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Solution

The fourth proportional to 256.58, 384.61 and 110.42 is: 165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.58 : 384.61 = 110.42 : x
  2. Step 2: Convert to fraction form
    256.58/384.61 = 110.42/x
  3. Step 3: Cross multiply
    256.58x = 384.61 × 110.42
  4. Step 4: Simplify right side
    256.58x = 42,468.86
  5. Step 5: Solve for x
    x = 42,468.86/256.58
  6. Step 6: Final answer
    x = 165.52

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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.