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Finding the Fourth Proportional to 164.49, 247.10 and 100.41

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Solution

The fourth proportional to 164.49, 247.10 and 100.41 is: 150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.49 : 247.10 = 100.41 : x
  2. Step 2: Convert to fraction form
    164.49/247.10 = 100.41/x
  3. Step 3: Cross multiply
    164.49x = 247.10 × 100.41
  4. Step 4: Simplify right side
    164.49x = 24,811.31
  5. Step 5: Solve for x
    x = 24,811.31/164.49
  6. Step 6: Final answer
    x = 150.84

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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.