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Finding the Fourth Proportional to 245.16, 367.36 and 123.36

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Solution

The fourth proportional to 245.16, 367.36 and 123.36 is: 184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.16 : 367.36 = 123.36 : x
  2. Step 2: Convert to fraction form
    245.16/367.36 = 123.36/x
  3. Step 3: Cross multiply
    245.16x = 367.36 × 123.36
  4. Step 4: Simplify right side
    245.16x = 45,317.53
  5. Step 5: Solve for x
    x = 45,317.53/245.16
  6. Step 6: Final answer
    x = 184.85

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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.