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Finding the Fourth Proportional to 245.09, 367.45 and 116.81

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Solution

The fourth proportional to 245.09, 367.45 and 116.81 is: 175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.09 : 367.45 = 116.81 : x
  2. Step 2: Convert to fraction form
    245.09/367.45 = 116.81/x
  3. Step 3: Cross multiply
    245.09x = 367.45 × 116.81
  4. Step 4: Simplify right side
    245.09x = 42,921.83
  5. Step 5: Solve for x
    x = 42,921.83/245.09
  6. Step 6: Final answer
    x = 175.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.