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Finding the Fourth Proportional to 345.34, 518.10 and 208.42

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Solution

The fourth proportional to 345.34, 518.10 and 208.42 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.34 : 518.10 = 208.42 : x
  2. Step 2: Convert to fraction form
    345.34/518.10 = 208.42/x
  3. Step 3: Cross multiply
    345.34x = 518.10 × 208.42
  4. Step 4: Simplify right side
    345.34x = 107,982.40
  5. Step 5: Solve for x
    x = 107,982.40/345.34
  6. Step 6: Final answer
    x = 312.68

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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.