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Finding the Fourth Proportional to 149.22, 205.83 and 110.40

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Solution

The fourth proportional to 149.22, 205.83 and 110.40 is: 152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.22 : 205.83 = 110.40 : x
  2. Step 2: Convert to fraction form
    149.22/205.83 = 110.40/x
  3. Step 3: Cross multiply
    149.22x = 205.83 × 110.40
  4. Step 4: Simplify right side
    149.22x = 22,723.63
  5. Step 5: Solve for x
    x = 22,723.63/149.22
  6. Step 6: Final answer
    x = 152.28

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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.