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Finding the Fourth Proportional to 307.67, 424.56 and 174.91

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Solution

The fourth proportional to 307.67, 424.56 and 174.91 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.67 : 424.56 = 174.91 : x
  2. Step 2: Convert to fraction form
    307.67/424.56 = 174.91/x
  3. Step 3: Cross multiply
    307.67x = 424.56 × 174.91
  4. Step 4: Simplify right side
    307.67x = 74,259.20
  5. Step 5: Solve for x
    x = 74,259.20/307.67
  6. Step 6: Final answer
    x = 241.36

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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.