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Finding the Fourth Proportional to 189.02, 260.06 and 188.61

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Solution

The fourth proportional to 189.02, 260.06 and 188.61 is: 259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.02 : 260.06 = 188.61 : x
  2. Step 2: Convert to fraction form
    189.02/260.06 = 188.61/x
  3. Step 3: Cross multiply
    189.02x = 260.06 × 188.61
  4. Step 4: Simplify right side
    189.02x = 49,048.97
  5. Step 5: Solve for x
    x = 49,048.97/189.02
  6. Step 6: Final answer
    x = 259.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.