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Finding the Fourth Proportional to 394.16, 591.24 and 177.49

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Solution

The fourth proportional to 394.16, 591.24 and 177.49 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 591.24 = 177.49 : x
  2. Step 2: Convert to fraction form
    394.16/591.24 = 177.49/x
  3. Step 3: Cross multiply
    394.16x = 591.24 × 177.49
  4. Step 4: Simplify right side
    394.16x = 104,936.23
  5. Step 5: Solve for x
    x = 104,936.23/394.16
  6. Step 6: Final answer
    x = 266.23

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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.