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Finding the Fourth Proportional to 390.50, 585.45 and 195.50

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Solution

The fourth proportional to 390.50, 585.45 and 195.50 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.50 : 585.45 = 195.50 : x
  2. Step 2: Convert to fraction form
    390.50/585.45 = 195.50/x
  3. Step 3: Cross multiply
    390.50x = 585.45 × 195.50
  4. Step 4: Simplify right side
    390.50x = 114,452.55
  5. Step 5: Solve for x
    x = 114,452.55/390.50
  6. Step 6: Final answer
    x = 293.09

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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.