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Finding the Fourth Proportional to 245.42, 367.62 and 184.47

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Solution

The fourth proportional to 245.42, 367.62 and 184.47 is: 276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.42 : 367.62 = 184.47 : x
  2. Step 2: Convert to fraction form
    245.42/367.62 = 184.47/x
  3. Step 3: Cross multiply
    245.42x = 367.62 × 184.47
  4. Step 4: Simplify right side
    245.42x = 67,814.86
  5. Step 5: Solve for x
    x = 67,814.86/245.42
  6. Step 6: Final answer
    x = 276.32

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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.