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Finding the Fourth Proportional to 371.70, 557.24 and 188.96

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Solution

The fourth proportional to 371.70, 557.24 and 188.96 is: 283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.70 : 557.24 = 188.96 : x
  2. Step 2: Convert to fraction form
    371.70/557.24 = 188.96/x
  3. Step 3: Cross multiply
    371.70x = 557.24 × 188.96
  4. Step 4: Simplify right side
    371.70x = 105,292.34
  5. Step 5: Solve for x
    x = 105,292.34/371.70
  6. Step 6: Final answer
    x = 283.27

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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.