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Finding the Fourth Proportional to 531, 796.10 and 165.57

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Solution

The fourth proportional to 531, 796.10 and 165.57 is: 248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531 : 796.10 = 165.57 : x
  2. Step 2: Convert to fraction form
    531/796.10 = 165.57/x
  3. Step 3: Cross multiply
    531x = 796.10 × 165.57
  4. Step 4: Simplify right side
    531x = 131,809.45
  5. Step 5: Solve for x
    x = 131,809.45/531
  6. Step 6: Final answer
    x = 248.23

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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.