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Finding the Fourth Proportional to 307.34, 424.11 and 183.01

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Solution

The fourth proportional to 307.34, 424.11 and 183.01 is: 252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.34 : 424.11 = 183.01 : x
  2. Step 2: Convert to fraction form
    307.34/424.11 = 183.01/x
  3. Step 3: Cross multiply
    307.34x = 424.11 × 183.01
  4. Step 4: Simplify right side
    307.34x = 77,614.62
  5. Step 5: Solve for x
    x = 77,614.62/307.34
  6. Step 6: Final answer
    x = 252.54

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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.