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Finding the Fourth Proportional to 256.02, 384.24 and 147.66

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Solution

The fourth proportional to 256.02, 384.24 and 147.66 is: 221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 384.24 = 147.66 : x
  2. Step 2: Convert to fraction form
    256.02/384.24 = 147.66/x
  3. Step 3: Cross multiply
    256.02x = 384.24 × 147.66
  4. Step 4: Simplify right side
    256.02x = 56,736.88
  5. Step 5: Solve for x
    x = 56,736.88/256.02
  6. Step 6: Final answer
    x = 221.61

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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.