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Finding the Fourth Proportional to 243.07, 364.16 and 208.51

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Solution

The fourth proportional to 243.07, 364.16 and 208.51 is: 312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.07 : 364.16 = 208.51 : x
  2. Step 2: Convert to fraction form
    243.07/364.16 = 208.51/x
  3. Step 3: Cross multiply
    243.07x = 364.16 × 208.51
  4. Step 4: Simplify right side
    243.07x = 75,930.61
  5. Step 5: Solve for x
    x = 75,930.61/243.07
  6. Step 6: Final answer
    x = 312.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.