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Finding the Fourth Proportional to 545.01, 817.68 and 180.06

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Solution

The fourth proportional to 545.01, 817.68 and 180.06 is: 270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.01 : 817.68 = 180.06 : x
  2. Step 2: Convert to fraction form
    545.01/817.68 = 180.06/x
  3. Step 3: Cross multiply
    545.01x = 817.68 × 180.06
  4. Step 4: Simplify right side
    545.01x = 147,227.37
  5. Step 5: Solve for x
    x = 147,227.37/545.01
  6. Step 6: Final answer
    x = 270.14

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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.