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Finding the Fourth Proportional to 256.25, 384.05 and 147.71

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Solution

The fourth proportional to 256.25, 384.05 and 147.71 is: 221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.25 : 384.05 = 147.71 : x
  2. Step 2: Convert to fraction form
    256.25/384.05 = 147.71/x
  3. Step 3: Cross multiply
    256.25x = 384.05 × 147.71
  4. Step 4: Simplify right side
    256.25x = 56,725.37
  5. Step 5: Solve for x
    x = 56,725.37/256.25
  6. Step 6: Final answer
    x = 221.37

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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.