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Finding the Fourth Proportional to 209.79, 314.17 and 173.00

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Solution

The fourth proportional to 209.79, 314.17 and 173.00 is: 259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.79 : 314.17 = 173.00 : x
  2. Step 2: Convert to fraction form
    209.79/314.17 = 173.00/x
  3. Step 3: Cross multiply
    209.79x = 314.17 × 173.00
  4. Step 4: Simplify right side
    209.79x = 54,352.25
  5. Step 5: Solve for x
    x = 54,352.25/209.79
  6. Step 6: Final answer
    x = 259.08

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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.