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Finding the Fourth Proportional to 363.04, 543.90 and 180.16

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Solution

The fourth proportional to 363.04, 543.90 and 180.16 is: 269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.04 : 543.90 = 180.16 : x
  2. Step 2: Convert to fraction form
    363.04/543.90 = 180.16/x
  3. Step 3: Cross multiply
    363.04x = 543.90 × 180.16
  4. Step 4: Simplify right side
    363.04x = 97,989.02
  5. Step 5: Solve for x
    x = 97,989.02/363.04
  6. Step 6: Final answer
    x = 269.91

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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.