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Finding the Fourth Proportional to 256.10, 384.15 and 164.30

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Solution

The fourth proportional to 256.10, 384.15 and 164.30 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.10 : 384.15 = 164.30 : x
  2. Step 2: Convert to fraction form
    256.10/384.15 = 164.30/x
  3. Step 3: Cross multiply
    256.10x = 384.15 × 164.30
  4. Step 4: Simplify right side
    256.10x = 63,115.85
  5. Step 5: Solve for x
    x = 63,115.85/256.10
  6. Step 6: Final answer
    x = 246.45

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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.