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Finding the Fourth Proportional to 307.82, 461.70 and 102.39

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Solution

The fourth proportional to 307.82, 461.70 and 102.39 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 461.70 = 102.39 : x
  2. Step 2: Convert to fraction form
    307.82/461.70 = 102.39/x
  3. Step 3: Cross multiply
    307.82x = 461.70 × 102.39
  4. Step 4: Simplify right side
    307.82x = 47,273.46
  5. Step 5: Solve for x
    x = 47,273.46/307.82
  6. Step 6: Final answer
    x = 153.58

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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.