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Finding the Fourth Proportional to 189.69, 263.06 and 183.52

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Solution

The fourth proportional to 189.69, 263.06 and 183.52 is: 254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.69 : 263.06 = 183.52 : x
  2. Step 2: Convert to fraction form
    189.69/263.06 = 183.52/x
  3. Step 3: Cross multiply
    189.69x = 263.06 × 183.52
  4. Step 4: Simplify right side
    189.69x = 48,276.77
  5. Step 5: Solve for x
    x = 48,276.77/189.69
  6. Step 6: Final answer
    x = 254.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.