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Finding the Fourth Proportional to 174.30, 261.45 and 161.10

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Solution

The fourth proportional to 174.30, 261.45 and 161.10 is: 241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.30 : 261.45 = 161.10 : x
  2. Step 2: Convert to fraction form
    174.30/261.45 = 161.10/x
  3. Step 3: Cross multiply
    174.30x = 261.45 × 161.10
  4. Step 4: Simplify right side
    174.30x = 42,119.60
  5. Step 5: Solve for x
    x = 42,119.60/174.30
  6. Step 6: Final answer
    x = 241.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.