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Finding the Fourth Proportional to 340.25, 469.64 and 223.97

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Solution

The fourth proportional to 340.25, 469.64 and 223.97 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.25 : 469.64 = 223.97 : x
  2. Step 2: Convert to fraction form
    340.25/469.64 = 223.97/x
  3. Step 3: Cross multiply
    340.25x = 469.64 × 223.97
  4. Step 4: Simplify right side
    340.25x = 105,185.27
  5. Step 5: Solve for x
    x = 105,185.27/340.25
  6. Step 6: Final answer
    x = 309.14

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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.