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Finding the Fourth Proportional to 184.41, 277.02 and 164.63

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Solution

The fourth proportional to 184.41, 277.02 and 164.63 is: 247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.41 : 277.02 = 164.63 : x
  2. Step 2: Convert to fraction form
    184.41/277.02 = 164.63/x
  3. Step 3: Cross multiply
    184.41x = 277.02 × 164.63
  4. Step 4: Simplify right side
    184.41x = 45,606.50
  5. Step 5: Solve for x
    x = 45,606.50/184.41
  6. Step 6: Final answer
    x = 247.31

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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.