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Finding the Fourth Proportional to 189.84, 262.19 and 131.52

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Solution

The fourth proportional to 189.84, 262.19 and 131.52 is: 181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 262.19 = 131.52 : x
  2. Step 2: Convert to fraction form
    189.84/262.19 = 131.52/x
  3. Step 3: Cross multiply
    189.84x = 262.19 × 131.52
  4. Step 4: Simplify right side
    189.84x = 34,483.80
  5. Step 5: Solve for x
    x = 34,483.80/189.84
  6. Step 6: Final answer
    x = 181.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.