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Finding the Fourth Proportional to 292.43, 403.74 and 203.88

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Solution

The fourth proportional to 292.43, 403.74 and 203.88 is: 281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.43 : 403.74 = 203.88 : x
  2. Step 2: Convert to fraction form
    292.43/403.74 = 203.88/x
  3. Step 3: Cross multiply
    292.43x = 403.74 × 203.88
  4. Step 4: Simplify right side
    292.43x = 82,314.51
  5. Step 5: Solve for x
    x = 82,314.51/292.43
  6. Step 6: Final answer
    x = 281.49

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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.