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Finding the Fourth Proportional to 307.69, 461.54 and 102.24

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Solution

The fourth proportional to 307.69, 461.54 and 102.24 is: 153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 461.54 = 102.24 : x
  2. Step 2: Convert to fraction form
    307.69/461.54 = 102.24/x
  3. Step 3: Cross multiply
    307.69x = 461.54 × 102.24
  4. Step 4: Simplify right side
    307.69x = 47,188.11
  5. Step 5: Solve for x
    x = 47,188.11/307.69
  6. Step 6: Final answer
    x = 153.36

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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.