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Finding the Fourth Proportional to 290.06, 400.06 and 207.13

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Solution

The fourth proportional to 290.06, 400.06 and 207.13 is: 285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.06 : 400.06 = 207.13 : x
  2. Step 2: Convert to fraction form
    290.06/400.06 = 207.13/x
  3. Step 3: Cross multiply
    290.06x = 400.06 × 207.13
  4. Step 4: Simplify right side
    290.06x = 82,866.14
  5. Step 5: Solve for x
    x = 82,866.14/290.06
  6. Step 6: Final answer
    x = 285.69

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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.