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Finding the Fourth Proportional to 290.42, 435.65 and 107.84

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Solution

The fourth proportional to 290.42, 435.65 and 107.84 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.42 : 435.65 = 107.84 : x
  2. Step 2: Convert to fraction form
    290.42/435.65 = 107.84/x
  3. Step 3: Cross multiply
    290.42x = 435.65 × 107.84
  4. Step 4: Simplify right side
    290.42x = 46,980.50
  5. Step 5: Solve for x
    x = 46,980.50/290.42
  6. Step 6: Final answer
    x = 161.77

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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.