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Finding the Fourth Proportional to 209.58, 288.93 and 174.48

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Solution

The fourth proportional to 209.58, 288.93 and 174.48 is: 240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 288.93 = 174.48 : x
  2. Step 2: Convert to fraction form
    209.58/288.93 = 174.48/x
  3. Step 3: Cross multiply
    209.58x = 288.93 × 174.48
  4. Step 4: Simplify right side
    209.58x = 50,412.51
  5. Step 5: Solve for x
    x = 50,412.51/209.58
  6. Step 6: Final answer
    x = 240.54

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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.