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Finding the Fourth Proportional to 307.11, 423.86 and 176.11

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Solution

The fourth proportional to 307.11, 423.86 and 176.11 is: 243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.11 : 423.86 = 176.11 : x
  2. Step 2: Convert to fraction form
    307.11/423.86 = 176.11/x
  3. Step 3: Cross multiply
    307.11x = 423.86 × 176.11
  4. Step 4: Simplify right side
    307.11x = 74,645.98
  5. Step 5: Solve for x
    x = 74,645.98/307.11
  6. Step 6: Final answer
    x = 243.06

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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.