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Finding the Fourth Proportional to 545.74, 818.71 and 180.43

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Solution

The fourth proportional to 545.74, 818.71 and 180.43 is: 270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.74 : 818.71 = 180.43 : x
  2. Step 2: Convert to fraction form
    545.74/818.71 = 180.43/x
  3. Step 3: Cross multiply
    545.74x = 818.71 × 180.43
  4. Step 4: Simplify right side
    545.74x = 147,717.35
  5. Step 5: Solve for x
    x = 147,717.35/545.74
  6. Step 6: Final answer
    x = 270.67

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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.