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Finding the Fourth Proportional to 205.08, 306.16 and 174.32

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Solution

The fourth proportional to 205.08, 306.16 and 174.32 is: 260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 306.16 = 174.32 : x
  2. Step 2: Convert to fraction form
    205.08/306.16 = 174.32/x
  3. Step 3: Cross multiply
    205.08x = 306.16 × 174.32
  4. Step 4: Simplify right side
    205.08x = 53,369.81
  5. Step 5: Solve for x
    x = 53,369.81/205.08
  6. Step 6: Final answer
    x = 260.24

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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.