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Finding the Fourth Proportional to 290.73, 436.32 and 153.81

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Solution

The fourth proportional to 290.73, 436.32 and 153.81 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.73 : 436.32 = 153.81 : x
  2. Step 2: Convert to fraction form
    290.73/436.32 = 153.81/x
  3. Step 3: Cross multiply
    290.73x = 436.32 × 153.81
  4. Step 4: Simplify right side
    290.73x = 67,110.38
  5. Step 5: Solve for x
    x = 67,110.38/290.73
  6. Step 6: Final answer
    x = 230.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.