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Finding the Fourth Proportional to 245.30, 367.95 and 101.03

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Solution

The fourth proportional to 245.30, 367.95 and 101.03 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.30 : 367.95 = 101.03 : x
  2. Step 2: Convert to fraction form
    245.30/367.95 = 101.03/x
  3. Step 3: Cross multiply
    245.30x = 367.95 × 101.03
  4. Step 4: Simplify right side
    245.30x = 37,172.15
  5. Step 5: Solve for x
    x = 37,172.15/245.30
  6. Step 6: Final answer
    x = 151.54

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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.