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Finding the Fourth Proportional to 545.99, 819.08 and 180.67

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Solution

The fourth proportional to 545.99, 819.08 and 180.67 is: 271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.99 : 819.08 = 180.67 : x
  2. Step 2: Convert to fraction form
    545.99/819.08 = 180.67/x
  3. Step 3: Cross multiply
    545.99x = 819.08 × 180.67
  4. Step 4: Simplify right side
    545.99x = 147,983.18
  5. Step 5: Solve for x
    x = 147,983.18/545.99
  6. Step 6: Final answer
    x = 271.04

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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.