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Finding the Fourth Proportional to 290.62, 401.02 and 184.24

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Solution

The fourth proportional to 290.62, 401.02 and 184.24 is: 254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.62 : 401.02 = 184.24 : x
  2. Step 2: Convert to fraction form
    290.62/401.02 = 184.24/x
  3. Step 3: Cross multiply
    290.62x = 401.02 × 184.24
  4. Step 4: Simplify right side
    290.62x = 73,881.92
  5. Step 5: Solve for x
    x = 73,881.92/290.62
  6. Step 6: Final answer
    x = 254.22

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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.