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Finding the Fourth Proportional to 394.95, 592.43 and 178.53

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Solution

The fourth proportional to 394.95, 592.43 and 178.53 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.95 : 592.43 = 178.53 : x
  2. Step 2: Convert to fraction form
    394.95/592.43 = 178.53/x
  3. Step 3: Cross multiply
    394.95x = 592.43 × 178.53
  4. Step 4: Simplify right side
    394.95x = 105,766.53
  5. Step 5: Solve for x
    x = 105,766.53/394.95
  6. Step 6: Final answer
    x = 267.80

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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.