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Finding the Fourth Proportional to 189.40, 284 and 93.22

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Solution

The fourth proportional to 189.40, 284 and 93.22 is: 139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.40 : 284 = 93.22 : x
  2. Step 2: Convert to fraction form
    189.40/284 = 93.22/x
  3. Step 3: Cross multiply
    189.40x = 284 × 93.22
  4. Step 4: Simplify right side
    189.40x = 26,474.48
  5. Step 5: Solve for x
    x = 26,474.48/189.40
  6. Step 6: Final answer
    x = 139.78

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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.