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Finding the Fourth Proportional to 345.06, 517.32 and 208.14

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Solution

The fourth proportional to 345.06, 517.32 and 208.14 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.06 : 517.32 = 208.14 : x
  2. Step 2: Convert to fraction form
    345.06/517.32 = 208.14/x
  3. Step 3: Cross multiply
    345.06x = 517.32 × 208.14
  4. Step 4: Simplify right side
    345.06x = 107,674.98
  5. Step 5: Solve for x
    x = 107,674.98/345.06
  6. Step 6: Final answer
    x = 312.05

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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.