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Finding the Fourth Proportional to 307.27, 423.98 and 174.47

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Solution

The fourth proportional to 307.27, 423.98 and 174.47 is: 240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.27 : 423.98 = 174.47 : x
  2. Step 2: Convert to fraction form
    307.27/423.98 = 174.47/x
  3. Step 3: Cross multiply
    307.27x = 423.98 × 174.47
  4. Step 4: Simplify right side
    307.27x = 73,971.79
  5. Step 5: Solve for x
    x = 73,971.79/307.27
  6. Step 6: Final answer
    x = 240.74

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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.