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Finding the Fourth Proportional to 189.30, 260.97 and 145.56

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Solution

The fourth proportional to 189.30, 260.97 and 145.56 is: 200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.30 : 260.97 = 145.56 : x
  2. Step 2: Convert to fraction form
    189.30/260.97 = 145.56/x
  3. Step 3: Cross multiply
    189.30x = 260.97 × 145.56
  4. Step 4: Simplify right side
    189.30x = 37,986.79
  5. Step 5: Solve for x
    x = 37,986.79/189.30
  6. Step 6: Final answer
    x = 200.67

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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.