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Finding the Fourth Proportional to 174.46, 261.55 and 109.47

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Solution

The fourth proportional to 174.46, 261.55 and 109.47 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.46 : 261.55 = 109.47 : x
  2. Step 2: Convert to fraction form
    174.46/261.55 = 109.47/x
  3. Step 3: Cross multiply
    174.46x = 261.55 × 109.47
  4. Step 4: Simplify right side
    174.46x = 28,631.60
  5. Step 5: Solve for x
    x = 28,631.60/174.46
  6. Step 6: Final answer
    x = 164.12

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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.