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Finding the Fourth Proportional to 245.93, 339.23 and 209.16

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Solution

The fourth proportional to 245.93, 339.23 and 209.16 is: 288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.93 : 339.23 = 209.16 : x
  2. Step 2: Convert to fraction form
    245.93/339.23 = 209.16/x
  3. Step 3: Cross multiply
    245.93x = 339.23 × 209.16
  4. Step 4: Simplify right side
    245.93x = 70,952.30
  5. Step 5: Solve for x
    x = 70,952.30/245.93
  6. Step 6: Final answer
    x = 288.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.