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Finding the Fourth Proportional to 189.78, 284.14 and 165.16

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Solution

The fourth proportional to 189.78, 284.14 and 165.16 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.78 : 284.14 = 165.16 : x
  2. Step 2: Convert to fraction form
    189.78/284.14 = 165.16/x
  3. Step 3: Cross multiply
    189.78x = 284.14 × 165.16
  4. Step 4: Simplify right side
    189.78x = 46,928.56
  5. Step 5: Solve for x
    x = 46,928.56/189.78
  6. Step 6: Final answer
    x = 247.28

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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.