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Finding the Fourth Proportional to 290.68, 401.35 and 203.47

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Solution

The fourth proportional to 290.68, 401.35 and 203.47 is: 280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.68 : 401.35 = 203.47 : x
  2. Step 2: Convert to fraction form
    290.68/401.35 = 203.47/x
  3. Step 3: Cross multiply
    290.68x = 401.35 × 203.47
  4. Step 4: Simplify right side
    290.68x = 81,662.68
  5. Step 5: Solve for x
    x = 81,662.68/290.68
  6. Step 6: Final answer
    x = 280.94

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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.