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Finding the Fourth Proportional to 394.47, 591.77 and 178.07

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Solution

The fourth proportional to 394.47, 591.77 and 178.07 is: 267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.47 : 591.77 = 178.07 : x
  2. Step 2: Convert to fraction form
    394.47/591.77 = 178.07/x
  3. Step 3: Cross multiply
    394.47x = 591.77 × 178.07
  4. Step 4: Simplify right side
    394.47x = 105,373.97
  5. Step 5: Solve for x
    x = 105,373.97/394.47
  6. Step 6: Final answer
    x = 267.13

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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.