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Finding the Fourth Proportional to 307.85, 461.81 and 102.36

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Solution

The fourth proportional to 307.85, 461.81 and 102.36 is: 153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.85 : 461.81 = 102.36 : x
  2. Step 2: Convert to fraction form
    307.85/461.81 = 102.36/x
  3. Step 3: Cross multiply
    307.85x = 461.81 × 102.36
  4. Step 4: Simplify right side
    307.85x = 47,272.86
  5. Step 5: Solve for x
    x = 47,272.86/307.85
  6. Step 6: Final answer
    x = 153.56

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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.