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Finding the Fourth Proportional to 307.07, 423.69 and 182.74

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Solution

The fourth proportional to 307.07, 423.69 and 182.74 is: 252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.07 : 423.69 = 182.74 : x
  2. Step 2: Convert to fraction form
    307.07/423.69 = 182.74/x
  3. Step 3: Cross multiply
    307.07x = 423.69 × 182.74
  4. Step 4: Simplify right side
    307.07x = 77,425.11
  5. Step 5: Solve for x
    x = 77,425.11/307.07
  6. Step 6: Final answer
    x = 252.14

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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.