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Finding the Fourth Proportional to 174.55, 240.88 and 109.09

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Solution

The fourth proportional to 174.55, 240.88 and 109.09 is: 150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.55 : 240.88 = 109.09 : x
  2. Step 2: Convert to fraction form
    174.55/240.88 = 109.09/x
  3. Step 3: Cross multiply
    174.55x = 240.88 × 109.09
  4. Step 4: Simplify right side
    174.55x = 26,276.89
  5. Step 5: Solve for x
    x = 26,276.89/174.55
  6. Step 6: Final answer
    x = 150.54

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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.