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Finding the Fourth Proportional to 149.34, 205.75 and 118.24

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Solution

The fourth proportional to 149.34, 205.75 and 118.24 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 205.75 = 118.24 : x
  2. Step 2: Convert to fraction form
    149.34/205.75 = 118.24/x
  3. Step 3: Cross multiply
    149.34x = 205.75 × 118.24
  4. Step 4: Simplify right side
    149.34x = 24,327.88
  5. Step 5: Solve for x
    x = 24,327.88/149.34
  6. Step 6: Final answer
    x = 162.90

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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.