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Finding the Fourth Proportional to 189, 283.70 and 102.40

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Solution

The fourth proportional to 189, 283.70 and 102.40 is: 153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 283.70 = 102.40 : x
  2. Step 2: Convert to fraction form
    189/283.70 = 102.40/x
  3. Step 3: Cross multiply
    189x = 283.70 × 102.40
  4. Step 4: Simplify right side
    189x = 29,050.43
  5. Step 5: Solve for x
    x = 29,050.43/189
  6. Step 6: Final answer
    x = 153.71

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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.