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Finding the Fourth Proportional to 320.14, 441.86 and 189.16

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Solution

The fourth proportional to 320.14, 441.86 and 189.16 is: 261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.14 : 441.86 = 189.16 : x
  2. Step 2: Convert to fraction form
    320.14/441.86 = 189.16/x
  3. Step 3: Cross multiply
    320.14x = 441.86 × 189.16
  4. Step 4: Simplify right side
    320.14x = 83,582.24
  5. Step 5: Solve for x
    x = 83,582.24/320.14
  6. Step 6: Final answer
    x = 261.08

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