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Finding the Fourth Proportional to 292.41, 403.47 and 204.08

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Solution

The fourth proportional to 292.41, 403.47 and 204.08 is: 281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.41 : 403.47 = 204.08 : x
  2. Step 2: Convert to fraction form
    292.41/403.47 = 204.08/x
  3. Step 3: Cross multiply
    292.41x = 403.47 × 204.08
  4. Step 4: Simplify right side
    292.41x = 82,338.14
  5. Step 5: Solve for x
    x = 82,338.14/292.41
  6. Step 6: Final answer
    x = 281.58

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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.