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Finding the Fourth Proportional to 340.12, 469.56 and 223.88

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Solution

The fourth proportional to 340.12, 469.56 and 223.88 is: 309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.12 : 469.56 = 223.88 : x
  2. Step 2: Convert to fraction form
    340.12/469.56 = 223.88/x
  3. Step 3: Cross multiply
    340.12x = 469.56 × 223.88
  4. Step 4: Simplify right side
    340.12x = 105,124.53
  5. Step 5: Solve for x
    x = 105,124.53/340.12
  6. Step 6: Final answer
    x = 309.09

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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.