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Finding the Fourth Proportional to 255.56, 383.49 and 164.31

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Solution

The fourth proportional to 255.56, 383.49 and 164.31 is: 246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.56 : 383.49 = 164.31 : x
  2. Step 2: Convert to fraction form
    255.56/383.49 = 164.31/x
  3. Step 3: Cross multiply
    255.56x = 383.49 × 164.31
  4. Step 4: Simplify right side
    255.56x = 63,011.24
  5. Step 5: Solve for x
    x = 63,011.24/255.56
  6. Step 6: Final answer
    x = 246.57

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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.