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Finding the Fourth Proportional to 531.81, 797.83 and 185.16

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Solution

The fourth proportional to 531.81, 797.83 and 185.16 is: 277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.81 : 797.83 = 185.16 : x
  2. Step 2: Convert to fraction form
    531.81/797.83 = 185.16/x
  3. Step 3: Cross multiply
    531.81x = 797.83 × 185.16
  4. Step 4: Simplify right side
    531.81x = 147,728.73
  5. Step 5: Solve for x
    x = 147,728.73/531.81
  6. Step 6: Final answer
    x = 277.78

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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.