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Finding the Fourth Proportional to 174.64, 240.92 and 109.22

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Solution

The fourth proportional to 174.64, 240.92 and 109.22 is: 150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.64 : 240.92 = 109.22 : x
  2. Step 2: Convert to fraction form
    174.64/240.92 = 109.22/x
  3. Step 3: Cross multiply
    174.64x = 240.92 × 109.22
  4. Step 4: Simplify right side
    174.64x = 26,313.28
  5. Step 5: Solve for x
    x = 26,313.28/174.64
  6. Step 6: Final answer
    x = 150.67

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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.