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Finding the Fourth Proportional to 526.15, 789.20 and 179.48

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Solution

The fourth proportional to 526.15, 789.20 and 179.48 is: 269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.15 : 789.20 = 179.48 : x
  2. Step 2: Convert to fraction form
    526.15/789.20 = 179.48/x
  3. Step 3: Cross multiply
    526.15x = 789.20 × 179.48
  4. Step 4: Simplify right side
    526.15x = 141,645.62
  5. Step 5: Solve for x
    x = 141,645.62/526.15
  6. Step 6: Final answer
    x = 269.21

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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.