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Finding the Fourth Proportional to 205.05, 306.14 and 174.18

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Solution

The fourth proportional to 205.05, 306.14 and 174.18 is: 260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.05 : 306.14 = 174.18 : x
  2. Step 2: Convert to fraction form
    205.05/306.14 = 174.18/x
  3. Step 3: Cross multiply
    205.05x = 306.14 × 174.18
  4. Step 4: Simplify right side
    205.05x = 53,323.47
  5. Step 5: Solve for x
    x = 53,323.47/205.05
  6. Step 6: Final answer
    x = 260.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.