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Finding the Fourth Proportional to 307.94, 424.87 and 183.56

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Solution

The fourth proportional to 307.94, 424.87 and 183.56 is: 253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.94 : 424.87 = 183.56 : x
  2. Step 2: Convert to fraction form
    307.94/424.87 = 183.56/x
  3. Step 3: Cross multiply
    307.94x = 424.87 × 183.56
  4. Step 4: Simplify right side
    307.94x = 77,986.55
  5. Step 5: Solve for x
    x = 77,986.55/307.94
  6. Step 6: Final answer
    x = 253.26

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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.