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Finding the Fourth Proportional to 515.64, 773.50 and 168.94

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Solution

The fourth proportional to 515.64, 773.50 and 168.94 is: 253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.64 : 773.50 = 168.94 : x
  2. Step 2: Convert to fraction form
    515.64/773.50 = 168.94/x
  3. Step 3: Cross multiply
    515.64x = 773.50 × 168.94
  4. Step 4: Simplify right side
    515.64x = 130,678.13
  5. Step 5: Solve for x
    x = 130,678.13/515.64
  6. Step 6: Final answer
    x = 253.43

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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.