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Finding the Fourth Proportional to 320.21, 441.82 and 187.40

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Solution

The fourth proportional to 320.21, 441.82 and 187.40 is: 258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.21 : 441.82 = 187.40 : x
  2. Step 2: Convert to fraction form
    320.21/441.82 = 187.40/x
  3. Step 3: Cross multiply
    320.21x = 441.82 × 187.40
  4. Step 4: Simplify right side
    320.21x = 82,798.41
  5. Step 5: Solve for x
    x = 82,798.41/320.21
  6. Step 6: Final answer
    x = 258.58

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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.