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Finding the Fourth Proportional to 189.10, 283.53 and 97.84

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Solution

The fourth proportional to 189.10, 283.53 and 97.84 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.10 : 283.53 = 97.84 : x
  2. Step 2: Convert to fraction form
    189.10/283.53 = 97.84/x
  3. Step 3: Cross multiply
    189.10x = 283.53 × 97.84
  4. Step 4: Simplify right side
    189.10x = 27,739.16
  5. Step 5: Solve for x
    x = 27,739.16/189.10
  6. Step 6: Final answer
    x = 146.69

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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.