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Finding the Fourth Proportional to 380.00, 569.63 and 194.90

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Solution

The fourth proportional to 380.00, 569.63 and 194.90 is: 292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.00 : 569.63 = 194.90 : x
  2. Step 2: Convert to fraction form
    380.00/569.63 = 194.90/x
  3. Step 3: Cross multiply
    380.00x = 569.63 × 194.90
  4. Step 4: Simplify right side
    380.00x = 111,022.80
  5. Step 5: Solve for x
    x = 111,022.80/380.00
  6. Step 6: Final answer
    x = 292.16

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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.