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Finding the Fourth Proportional to 292.81, 404.23 and 205.65

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Solution

The fourth proportional to 292.81, 404.23 and 205.65 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.81 : 404.23 = 205.65 : x
  2. Step 2: Convert to fraction form
    292.81/404.23 = 205.65/x
  3. Step 3: Cross multiply
    292.81x = 404.23 × 205.65
  4. Step 4: Simplify right side
    292.81x = 83,129.90
  5. Step 5: Solve for x
    x = 83,129.90/292.81
  6. Step 6: Final answer
    x = 283.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.