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Finding the Fourth Proportional to 307.41, 461.03 and 101.96

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Solution

The fourth proportional to 307.41, 461.03 and 101.96 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.41 : 461.03 = 101.96 : x
  2. Step 2: Convert to fraction form
    307.41/461.03 = 101.96/x
  3. Step 3: Cross multiply
    307.41x = 461.03 × 101.96
  4. Step 4: Simplify right side
    307.41x = 47,007.26
  5. Step 5: Solve for x
    x = 47,007.26/307.41
  6. Step 6: Final answer
    x = 152.91

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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.