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Finding the Fourth Proportional to 189.02, 283.57 and 102.31

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Solution

The fourth proportional to 189.02, 283.57 and 102.31 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.02 : 283.57 = 102.31 : x
  2. Step 2: Convert to fraction form
    189.02/283.57 = 102.31/x
  3. Step 3: Cross multiply
    189.02x = 283.57 × 102.31
  4. Step 4: Simplify right side
    189.02x = 29,012.30
  5. Step 5: Solve for x
    x = 29,012.30/189.02
  6. Step 6: Final answer
    x = 153.49

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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.