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Finding the Fourth Proportional to 363.30, 545.01 and 180.66

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Solution

The fourth proportional to 363.30, 545.01 and 180.66 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 545.01 = 180.66 : x
  2. Step 2: Convert to fraction form
    363.30/545.01 = 180.66/x
  3. Step 3: Cross multiply
    363.30x = 545.01 × 180.66
  4. Step 4: Simplify right side
    363.30x = 98,461.51
  5. Step 5: Solve for x
    x = 98,461.51/363.30
  6. Step 6: Final answer
    x = 271.02

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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.