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Finding the Fourth Proportional to 307.94, 461.79 and 134.69

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Solution

The fourth proportional to 307.94, 461.79 and 134.69 is: 201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.94 : 461.79 = 134.69 : x
  2. Step 2: Convert to fraction form
    307.94/461.79 = 134.69/x
  3. Step 3: Cross multiply
    307.94x = 461.79 × 134.69
  4. Step 4: Simplify right side
    307.94x = 62,196.19
  5. Step 5: Solve for x
    x = 62,196.19/307.94
  6. Step 6: Final answer
    x = 201.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.