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Finding the Fourth Proportional to 307.39, 424.23 and 176.44

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Solution

The fourth proportional to 307.39, 424.23 and 176.44 is: 243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.39 : 424.23 = 176.44 : x
  2. Step 2: Convert to fraction form
    307.39/424.23 = 176.44/x
  3. Step 3: Cross multiply
    307.39x = 424.23 × 176.44
  4. Step 4: Simplify right side
    307.39x = 74,850.26
  5. Step 5: Solve for x
    x = 74,850.26/307.39
  6. Step 6: Final answer
    x = 243.50

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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.