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Finding the Fourth Proportional to 526.27, 789.40 and 161.05

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Solution

The fourth proportional to 526.27, 789.40 and 161.05 is: 241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.27 : 789.40 = 161.05 : x
  2. Step 2: Convert to fraction form
    526.27/789.40 = 161.05/x
  3. Step 3: Cross multiply
    526.27x = 789.40 × 161.05
  4. Step 4: Simplify right side
    526.27x = 127,132.47
  5. Step 5: Solve for x
    x = 127,132.47/526.27
  6. Step 6: Final answer
    x = 241.58

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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.