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Finding the Fourth Proportional to 345.54, 517.33 and 208.18

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Solution

The fourth proportional to 345.54, 517.33 and 208.18 is: 311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.54 : 517.33 = 208.18 : x
  2. Step 2: Convert to fraction form
    345.54/517.33 = 208.18/x
  3. Step 3: Cross multiply
    345.54x = 517.33 × 208.18
  4. Step 4: Simplify right side
    345.54x = 107,697.76
  5. Step 5: Solve for x
    x = 107,697.76/345.54
  6. Step 6: Final answer
    x = 311.68

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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.