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Finding the Fourth Proportional to 371.58, 557.72 and 189.10

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Solution

The fourth proportional to 371.58, 557.72 and 189.10 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.58 : 557.72 = 189.10 : x
  2. Step 2: Convert to fraction form
    371.58/557.72 = 189.10/x
  3. Step 3: Cross multiply
    371.58x = 557.72 × 189.10
  4. Step 4: Simplify right side
    371.58x = 105,464.85
  5. Step 5: Solve for x
    x = 105,464.85/371.58
  6. Step 6: Final answer
    x = 283.83

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Why These Related Problems?

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