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Finding the Fourth Proportional to 245, 367.64 and 116.75

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Solution

The fourth proportional to 245, 367.64 and 116.75 is: 175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245 : 367.64 = 116.75 : x
  2. Step 2: Convert to fraction form
    245/367.64 = 116.75/x
  3. Step 3: Cross multiply
    245x = 367.64 × 116.75
  4. Step 4: Simplify right side
    245x = 42,921.97
  5. Step 5: Solve for x
    x = 42,921.97/245
  6. Step 6: Final answer
    x = 175.19

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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.