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Finding the Fourth Proportional to 313.11, 470.06 and 176.27

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Solution

The fourth proportional to 313.11, 470.06 and 176.27 is: 264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.11 : 470.06 = 176.27 : x
  2. Step 2: Convert to fraction form
    313.11/470.06 = 176.27/x
  3. Step 3: Cross multiply
    313.11x = 470.06 × 176.27
  4. Step 4: Simplify right side
    313.11x = 82,854.24
  5. Step 5: Solve for x
    x = 82,854.24/313.11
  6. Step 6: Final answer
    x = 264.62

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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.