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Finding the Fourth Proportional to 290.70, 435.56 and 182.25

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Solution

The fourth proportional to 290.70, 435.56 and 182.25 is: 273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.70 : 435.56 = 182.25 : x
  2. Step 2: Convert to fraction form
    290.70/435.56 = 182.25/x
  3. Step 3: Cross multiply
    290.70x = 435.56 × 182.25
  4. Step 4: Simplify right side
    290.70x = 79,379.90
  5. Step 5: Solve for x
    x = 79,379.90/290.70
  6. Step 6: Final answer
    x = 273.06

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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.