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Finding the Fourth Proportional to 245.09, 367.64 and 90.97

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Solution

The fourth proportional to 245.09, 367.64 and 90.97 is: 136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.09 : 367.64 = 90.97 : x
  2. Step 2: Convert to fraction form
    245.09/367.64 = 90.97/x
  3. Step 3: Cross multiply
    245.09x = 367.64 × 90.97
  4. Step 4: Simplify right side
    245.09x = 33,442.84
  5. Step 5: Solve for x
    x = 33,442.84/245.09
  6. Step 6: Final answer
    x = 136.45

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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.