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Finding the Fourth Proportional to 209.07, 288.33 and 178.07

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Solution

The fourth proportional to 209.07, 288.33 and 178.07 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.07 : 288.33 = 178.07 : x
  2. Step 2: Convert to fraction form
    209.07/288.33 = 178.07/x
  3. Step 3: Cross multiply
    209.07x = 288.33 × 178.07
  4. Step 4: Simplify right side
    209.07x = 51,341.48
  5. Step 5: Solve for x
    x = 51,341.48/209.07
  6. Step 6: Final answer
    x = 245.57

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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.