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Finding the Fourth Proportional to 380.54, 570.63 and 137.00

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Solution

The fourth proportional to 380.54, 570.63 and 137.00 is: 205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.54 : 570.63 = 137.00 : x
  2. Step 2: Convert to fraction form
    380.54/570.63 = 137.00/x
  3. Step 3: Cross multiply
    380.54x = 570.63 × 137.00
  4. Step 4: Simplify right side
    380.54x = 78,173.46
  5. Step 5: Solve for x
    x = 78,173.46/380.54
  6. Step 6: Final answer
    x = 205.43

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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.