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Finding the Fourth Proportional to 289.60, 433.60 and 186.56

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Solution

The fourth proportional to 289.60, 433.60 and 186.56 is: 279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.60 : 433.60 = 186.56 : x
  2. Step 2: Convert to fraction form
    289.60/433.60 = 186.56/x
  3. Step 3: Cross multiply
    289.60x = 433.60 × 186.56
  4. Step 4: Simplify right side
    289.60x = 80,892.42
  5. Step 5: Solve for x
    x = 80,892.42/289.60
  6. Step 6: Final answer
    x = 279.32

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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.