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Finding the Fourth Proportional to 545.40, 817.94 and 180.11

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Solution

The fourth proportional to 545.40, 817.94 and 180.11 is: 270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.40 : 817.94 = 180.11 : x
  2. Step 2: Convert to fraction form
    545.40/817.94 = 180.11/x
  3. Step 3: Cross multiply
    545.40x = 817.94 × 180.11
  4. Step 4: Simplify right side
    545.40x = 147,314.18
  5. Step 5: Solve for x
    x = 147,314.18/545.40
  6. Step 6: Final answer
    x = 270.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.