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Finding the Fourth Proportional to 189.31, 283.76 and 97.98

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Solution

The fourth proportional to 189.31, 283.76 and 97.98 is: 146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.31 : 283.76 = 97.98 : x
  2. Step 2: Convert to fraction form
    189.31/283.76 = 97.98/x
  3. Step 3: Cross multiply
    189.31x = 283.76 × 97.98
  4. Step 4: Simplify right side
    189.31x = 27,802.31
  5. Step 5: Solve for x
    x = 27,802.31/189.31
  6. Step 6: Final answer
    x = 146.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.