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Finding the Fourth Proportional to 256.96, 384.66 and 165.46

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Solution

The fourth proportional to 256.96, 384.66 and 165.46 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.96 : 384.66 = 165.46 : x
  2. Step 2: Convert to fraction form
    256.96/384.66 = 165.46/x
  3. Step 3: Cross multiply
    256.96x = 384.66 × 165.46
  4. Step 4: Simplify right side
    256.96x = 63,645.14
  5. Step 5: Solve for x
    x = 63,645.14/256.96
  6. Step 6: Final answer
    x = 247.69

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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.