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Finding the Fourth Proportional to 307.49, 461.07 and 102.03

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Solution

The fourth proportional to 307.49, 461.07 and 102.03 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.49 : 461.07 = 102.03 : x
  2. Step 2: Convert to fraction form
    307.49/461.07 = 102.03/x
  3. Step 3: Cross multiply
    307.49x = 461.07 × 102.03
  4. Step 4: Simplify right side
    307.49x = 47,042.97
  5. Step 5: Solve for x
    x = 47,042.97/307.49
  6. Step 6: Final answer
    x = 152.99

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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.