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Finding the Fourth Proportional to 543.44, 814.74 and 178

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Solution

The fourth proportional to 543.44, 814.74 and 178 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.44 : 814.74 = 178 : x
  2. Step 2: Convert to fraction form
    543.44/814.74 = 178/x
  3. Step 3: Cross multiply
    543.44x = 814.74 × 178
  4. Step 4: Simplify right side
    543.44x = 145,023.72
  5. Step 5: Solve for x
    x = 145,023.72/543.44
  6. Step 6: Final answer
    x = 266.86

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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.