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Finding the Fourth Proportional to 290.51, 435.62 and 107.76

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Solution

The fourth proportional to 290.51, 435.62 and 107.76 is: 161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.51 : 435.62 = 107.76 : x
  2. Step 2: Convert to fraction form
    290.51/435.62 = 107.76/x
  3. Step 3: Cross multiply
    290.51x = 435.62 × 107.76
  4. Step 4: Simplify right side
    290.51x = 46,941.87
  5. Step 5: Solve for x
    x = 46,941.87/290.51
  6. Step 6: Final answer
    x = 161.59

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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.