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Finding the Fourth Proportional to 190.47, 281.82 and 189.93

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Solution

The fourth proportional to 190.47, 281.82 and 189.93 is: 281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.47 : 281.82 = 189.93 : x
  2. Step 2: Convert to fraction form
    190.47/281.82 = 189.93/x
  3. Step 3: Cross multiply
    190.47x = 281.82 × 189.93
  4. Step 4: Simplify right side
    190.47x = 53,526.07
  5. Step 5: Solve for x
    x = 53,526.07/190.47
  6. Step 6: Final answer
    x = 281.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.