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Finding the Fourth Proportional to 545.17, 817.83 and 179.98

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Solution

The fourth proportional to 545.17, 817.83 and 179.98 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.17 : 817.83 = 179.98 : x
  2. Step 2: Convert to fraction form
    545.17/817.83 = 179.98/x
  3. Step 3: Cross multiply
    545.17x = 817.83 × 179.98
  4. Step 4: Simplify right side
    545.17x = 147,193.04
  5. Step 5: Solve for x
    x = 147,193.04/545.17
  6. Step 6: Final answer
    x = 269.99

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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.