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Finding the Fourth Proportional to 295.81, 408.02 and 222

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Solution

The fourth proportional to 295.81, 408.02 and 222 is: 306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.81 : 408.02 = 222 : x
  2. Step 2: Convert to fraction form
    295.81/408.02 = 222/x
  3. Step 3: Cross multiply
    295.81x = 408.02 × 222
  4. Step 4: Simplify right side
    295.81x = 90,581.00
  5. Step 5: Solve for x
    x = 90,581.00/295.81
  6. Step 6: Final answer
    x = 306.22

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Why These Related Problems?

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