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Finding the Fourth Proportional to 435.07, 652.67 and 161.19

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Solution

The fourth proportional to 435.07, 652.67 and 161.19 is: 241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.07 : 652.67 = 161.19 : x
  2. Step 2: Convert to fraction form
    435.07/652.67 = 161.19/x
  3. Step 3: Cross multiply
    435.07x = 652.67 × 161.19
  4. Step 4: Simplify right side
    435.07x = 105,203.88
  5. Step 5: Solve for x
    x = 105,203.88/435.07
  6. Step 6: Final answer
    x = 241.81

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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.