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Finding the Fourth Proportional to 320.08, 441.74 and 189.07

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Solution

The fourth proportional to 320.08, 441.74 and 189.07 is: 260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.08 : 441.74 = 189.07 : x
  2. Step 2: Convert to fraction form
    320.08/441.74 = 189.07/x
  3. Step 3: Cross multiply
    320.08x = 441.74 × 189.07
  4. Step 4: Simplify right side
    320.08x = 83,517.57
  5. Step 5: Solve for x
    x = 83,517.57/320.08
  6. Step 6: Final answer
    x = 260.93

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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.