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Finding the Fourth Proportional to 189.64, 284.58 and 121.36

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Solution

The fourth proportional to 189.64, 284.58 and 121.36 is: 182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.64 : 284.58 = 121.36 : x
  2. Step 2: Convert to fraction form
    189.64/284.58 = 121.36/x
  3. Step 3: Cross multiply
    189.64x = 284.58 × 121.36
  4. Step 4: Simplify right side
    189.64x = 34,536.63
  5. Step 5: Solve for x
    x = 34,536.63/189.64
  6. Step 6: Final answer
    x = 182.12

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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.