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Finding the Fourth Proportional to 531, 796.26 and 184.22

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Solution

The fourth proportional to 531, 796.26 and 184.22 is: 276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531 : 796.26 = 184.22 : x
  2. Step 2: Convert to fraction form
    531/796.26 = 184.22/x
  3. Step 3: Cross multiply
    531x = 796.26 × 184.22
  4. Step 4: Simplify right side
    531x = 146,687.02
  5. Step 5: Solve for x
    x = 146,687.02/531
  6. Step 6: Final answer
    x = 276.25

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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.