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Finding the Fourth Proportional to 339.84, 469.08 and 229.68

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Solution

The fourth proportional to 339.84, 469.08 and 229.68 is: 317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.84 : 469.08 = 229.68 : x
  2. Step 2: Convert to fraction form
    339.84/469.08 = 229.68/x
  3. Step 3: Cross multiply
    339.84x = 469.08 × 229.68
  4. Step 4: Simplify right side
    339.84x = 107,738.29
  5. Step 5: Solve for x
    x = 107,738.29/339.84
  6. Step 6: Final answer
    x = 317.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.