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Finding the Fourth Proportional to 290.84, 400.80 and 203.36

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Solution

The fourth proportional to 290.84, 400.80 and 203.36 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.84 : 400.80 = 203.36 : x
  2. Step 2: Convert to fraction form
    290.84/400.80 = 203.36/x
  3. Step 3: Cross multiply
    290.84x = 400.80 × 203.36
  4. Step 4: Simplify right side
    290.84x = 81,506.69
  5. Step 5: Solve for x
    x = 81,506.69/290.84
  6. Step 6: Final answer
    x = 280.25

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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.