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Finding the Fourth Proportional to 544.10, 815.88 and 178.82

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Solution

The fourth proportional to 544.10, 815.88 and 178.82 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.10 : 815.88 = 178.82 : x
  2. Step 2: Convert to fraction form
    544.10/815.88 = 178.82/x
  3. Step 3: Cross multiply
    544.10x = 815.88 × 178.82
  4. Step 4: Simplify right side
    544.10x = 145,896.81
  5. Step 5: Solve for x
    x = 145,896.81/544.10
  6. Step 6: Final answer
    x = 268.14

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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.