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Finding the Fourth Proportional to 313.33, 469.31 and 176.31

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Solution

The fourth proportional to 313.33, 469.31 and 176.31 is: 264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.33 : 469.31 = 176.31 : x
  2. Step 2: Convert to fraction form
    313.33/469.31 = 176.31/x
  3. Step 3: Cross multiply
    313.33x = 469.31 × 176.31
  4. Step 4: Simplify right side
    313.33x = 82,742.14
  5. Step 5: Solve for x
    x = 82,742.14/313.33
  6. Step 6: Final answer
    x = 264.07

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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.