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Finding the Fourth Proportional to 189.32, 283.86 and 169.06

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Solution

The fourth proportional to 189.32, 283.86 and 169.06 is: 253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 283.86 = 169.06 : x
  2. Step 2: Convert to fraction form
    189.32/283.86 = 169.06/x
  3. Step 3: Cross multiply
    189.32x = 283.86 × 169.06
  4. Step 4: Simplify right side
    189.32x = 47,989.37
  5. Step 5: Solve for x
    x = 47,989.37/189.32
  6. Step 6: Final answer
    x = 253.48

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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.