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Finding the Fourth Proportional to 313.32, 470.04 and 176.56

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Solution

The fourth proportional to 313.32, 470.04 and 176.56 is: 264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.32 : 470.04 = 176.56 : x
  2. Step 2: Convert to fraction form
    313.32/470.04 = 176.56/x
  3. Step 3: Cross multiply
    313.32x = 470.04 × 176.56
  4. Step 4: Simplify right side
    313.32x = 82,990.26
  5. Step 5: Solve for x
    x = 82,990.26/313.32
  6. Step 6: Final answer
    x = 264.87

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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.