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Finding the Fourth Proportional to 307.57, 424.49 and 197.37

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Solution

The fourth proportional to 307.57, 424.49 and 197.37 is: 272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.57 : 424.49 = 197.37 : x
  2. Step 2: Convert to fraction form
    307.57/424.49 = 197.37/x
  3. Step 3: Cross multiply
    307.57x = 424.49 × 197.37
  4. Step 4: Simplify right side
    307.57x = 83,779.47
  5. Step 5: Solve for x
    x = 83,779.47/307.57
  6. Step 6: Final answer
    x = 272.39

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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.