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Finding the Fourth Proportional to 245.71, 367.77 and 180.69

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Solution

The fourth proportional to 245.71, 367.77 and 180.69 is: 270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.71 : 367.77 = 180.69 : x
  2. Step 2: Convert to fraction form
    245.71/367.77 = 180.69/x
  3. Step 3: Cross multiply
    245.71x = 367.77 × 180.69
  4. Step 4: Simplify right side
    245.71x = 66,452.72
  5. Step 5: Solve for x
    x = 66,452.72/245.71
  6. Step 6: Final answer
    x = 270.45

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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.