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Finding the Fourth Proportional to 543.83, 815.81 and 178.52

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Solution

The fourth proportional to 543.83, 815.81 and 178.52 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.83 : 815.81 = 178.52 : x
  2. Step 2: Convert to fraction form
    543.83/815.81 = 178.52/x
  3. Step 3: Cross multiply
    543.83x = 815.81 × 178.52
  4. Step 4: Simplify right side
    543.83x = 145,638.40
  5. Step 5: Solve for x
    x = 145,638.40/543.83
  6. Step 6: Final answer
    x = 267.80

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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.