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Finding the Fourth Proportional to 531.96, 797.88 and 185.46

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Solution

The fourth proportional to 531.96, 797.88 and 185.46 is: 278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.96 : 797.88 = 185.46 : x
  2. Step 2: Convert to fraction form
    531.96/797.88 = 185.46/x
  3. Step 3: Cross multiply
    531.96x = 797.88 × 185.46
  4. Step 4: Simplify right side
    531.96x = 147,974.82
  5. Step 5: Solve for x
    x = 147,974.82/531.96
  6. Step 6: Final answer
    x = 278.17

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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.