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Finding the Fourth Proportional to 189.10, 260.49 and 150.22

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Solution

The fourth proportional to 189.10, 260.49 and 150.22 is: 206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.10 : 260.49 = 150.22 : x
  2. Step 2: Convert to fraction form
    189.10/260.49 = 150.22/x
  3. Step 3: Cross multiply
    189.10x = 260.49 × 150.22
  4. Step 4: Simplify right side
    189.10x = 39,130.81
  5. Step 5: Solve for x
    x = 39,130.81/189.10
  6. Step 6: Final answer
    x = 206.93

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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.