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Finding the Fourth Proportional to 189.40, 282.71 and 188.92

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Solution

The fourth proportional to 189.40, 282.71 and 188.92 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 282.71 = 188.92 : x
  2. Step 2: Convert to fraction form
    189.40/282.71 = 188.92/x
  3. Step 3: Cross multiply
    189.40x = 282.71 × 188.92
  4. Step 4: Simplify right side
    189.40x = 53,409.57
  5. Step 5: Solve for x
    x = 53,409.57/189.40
  6. Step 6: Final answer
    x = 281.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.