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Finding the Fourth Proportional to 209.47, 288.98 and 134.77

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Solution

The fourth proportional to 209.47, 288.98 and 134.77 is: 185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.47 : 288.98 = 134.77 : x
  2. Step 2: Convert to fraction form
    209.47/288.98 = 134.77/x
  3. Step 3: Cross multiply
    209.47x = 288.98 × 134.77
  4. Step 4: Simplify right side
    209.47x = 38,945.27
  5. Step 5: Solve for x
    x = 38,945.27/209.47
  6. Step 6: Final answer
    x = 185.93

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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.