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Finding the Fourth Proportional to 526.78, 789.91 and 161.48

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Solution

The fourth proportional to 526.78, 789.91 and 161.48 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 789.91 = 161.48 : x
  2. Step 2: Convert to fraction form
    526.78/789.91 = 161.48/x
  3. Step 3: Cross multiply
    526.78x = 789.91 × 161.48
  4. Step 4: Simplify right side
    526.78x = 127,552.09
  5. Step 5: Solve for x
    x = 127,552.09/526.78
  6. Step 6: Final answer
    x = 242.14

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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.