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Finding the Fourth Proportional to 470.94, 706.31 and 178.38

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Solution

The fourth proportional to 470.94, 706.31 and 178.38 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.94 : 706.31 = 178.38 : x
  2. Step 2: Convert to fraction form
    470.94/706.31 = 178.38/x
  3. Step 3: Cross multiply
    470.94x = 706.31 × 178.38
  4. Step 4: Simplify right side
    470.94x = 125,990.69
  5. Step 5: Solve for x
    x = 125,990.69/470.94
  6. Step 6: Final answer
    x = 267.53

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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.