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Finding the Fourth Proportional to 174.78, 241.32 and 128.16

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Solution

The fourth proportional to 174.78, 241.32 and 128.16 is: 176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.78 : 241.32 = 128.16 : x
  2. Step 2: Convert to fraction form
    174.78/241.32 = 128.16/x
  3. Step 3: Cross multiply
    174.78x = 241.32 × 128.16
  4. Step 4: Simplify right side
    174.78x = 30,927.57
  5. Step 5: Solve for x
    x = 30,927.57/174.78
  6. Step 6: Final answer
    x = 176.95

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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.