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Finding the Fourth Proportional to 174.42, 259.88 and 162

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Solution

The fourth proportional to 174.42, 259.88 and 162 is: 241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.42 : 259.88 = 162 : x
  2. Step 2: Convert to fraction form
    174.42/259.88 = 162/x
  3. Step 3: Cross multiply
    174.42x = 259.88 × 162
  4. Step 4: Simplify right side
    174.42x = 42,099.75
  5. Step 5: Solve for x
    x = 42,099.75/174.42
  6. Step 6: Final answer
    x = 241.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.