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Finding the Fourth Proportional to 184.06, 253.98 and 105.38

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Solution

The fourth proportional to 184.06, 253.98 and 105.38 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.06 : 253.98 = 105.38 : x
  2. Step 2: Convert to fraction form
    184.06/253.98 = 105.38/x
  3. Step 3: Cross multiply
    184.06x = 253.98 × 105.38
  4. Step 4: Simplify right side
    184.06x = 26,764.41
  5. Step 5: Solve for x
    x = 26,764.41/184.06
  6. Step 6: Final answer
    x = 145.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.