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Finding the Fourth Proportional to 340.14, 469.33 and 229.44

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Solution

The fourth proportional to 340.14, 469.33 and 229.44 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 469.33 = 229.44 : x
  2. Step 2: Convert to fraction form
    340.14/469.33 = 229.44/x
  3. Step 3: Cross multiply
    340.14x = 469.33 × 229.44
  4. Step 4: Simplify right side
    340.14x = 107,683.08
  5. Step 5: Solve for x
    x = 107,683.08/340.14
  6. Step 6: Final answer
    x = 316.58

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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.