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Finding the Fourth Proportional to 292.99, 439.50 and 206.42

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Solution

The fourth proportional to 292.99, 439.50 and 206.42 is: 309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.99 : 439.50 = 206.42 : x
  2. Step 2: Convert to fraction form
    292.99/439.50 = 206.42/x
  3. Step 3: Cross multiply
    292.99x = 439.50 × 206.42
  4. Step 4: Simplify right side
    292.99x = 90,723.29
  5. Step 5: Solve for x
    x = 90,723.29/292.99
  6. Step 6: Final answer
    x = 309.64

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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.