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Finding the Fourth Proportional to 174.44, 241.08 and 152.84

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Solution

The fourth proportional to 174.44, 241.08 and 152.84 is: 211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.44 : 241.08 = 152.84 : x
  2. Step 2: Convert to fraction form
    174.44/241.08 = 152.84/x
  3. Step 3: Cross multiply
    174.44x = 241.08 × 152.84
  4. Step 4: Simplify right side
    174.44x = 36,846.67
  5. Step 5: Solve for x
    x = 36,846.67/174.44
  6. Step 6: Final answer
    x = 211.23

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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.