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Finding the Fourth Proportional to 371.65, 557.57 and 189.04

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Solution

The fourth proportional to 371.65, 557.57 and 189.04 is: 283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.65 : 557.57 = 189.04 : x
  2. Step 2: Convert to fraction form
    371.65/557.57 = 189.04/x
  3. Step 3: Cross multiply
    371.65x = 557.57 × 189.04
  4. Step 4: Simplify right side
    371.65x = 105,403.03
  5. Step 5: Solve for x
    x = 105,403.03/371.65
  6. Step 6: Final answer
    x = 283.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.