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Finding the Fourth Proportional to 545.21, 817.89 and 180.04

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Solution

The fourth proportional to 545.21, 817.89 and 180.04 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.21 : 817.89 = 180.04 : x
  2. Step 2: Convert to fraction form
    545.21/817.89 = 180.04/x
  3. Step 3: Cross multiply
    545.21x = 817.89 × 180.04
  4. Step 4: Simplify right side
    545.21x = 147,252.92
  5. Step 5: Solve for x
    x = 147,252.92/545.21
  6. Step 6: Final answer
    x = 270.08

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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.