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Finding the Fourth Proportional to 526.85, 789.96 and 161.57

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Solution

The fourth proportional to 526.85, 789.96 and 161.57 is: 242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.85 : 789.96 = 161.57 : x
  2. Step 2: Convert to fraction form
    526.85/789.96 = 161.57/x
  3. Step 3: Cross multiply
    526.85x = 789.96 × 161.57
  4. Step 4: Simplify right side
    526.85x = 127,633.84
  5. Step 5: Solve for x
    x = 127,633.84/526.85
  6. Step 6: Final answer
    x = 242.26

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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.