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Finding the Fourth Proportional to 476.07, 713.98 and 167.95

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Solution

The fourth proportional to 476.07, 713.98 and 167.95 is: 251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.07 : 713.98 = 167.95 : x
  2. Step 2: Convert to fraction form
    476.07/713.98 = 167.95/x
  3. Step 3: Cross multiply
    476.07x = 713.98 × 167.95
  4. Step 4: Simplify right side
    476.07x = 119,912.94
  5. Step 5: Solve for x
    x = 119,912.94/476.07
  6. Step 6: Final answer
    x = 251.88

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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.