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Finding the Fourth Proportional to 435.23, 652.77 and 161.25

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Solution

The fourth proportional to 435.23, 652.77 and 161.25 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.23 : 652.77 = 161.25 : x
  2. Step 2: Convert to fraction form
    435.23/652.77 = 161.25/x
  3. Step 3: Cross multiply
    435.23x = 652.77 × 161.25
  4. Step 4: Simplify right side
    435.23x = 105,261.02
  5. Step 5: Solve for x
    x = 105,261.02/435.23
  6. Step 6: Final answer
    x = 241.85

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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.