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Finding the Fourth Proportional to 175.11, 241.71 and 130.77

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Solution

The fourth proportional to 175.11, 241.71 and 130.77 is: 180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.11 : 241.71 = 130.77 : x
  2. Step 2: Convert to fraction form
    175.11/241.71 = 130.77/x
  3. Step 3: Cross multiply
    175.11x = 241.71 × 130.77
  4. Step 4: Simplify right side
    175.11x = 31,608.42
  5. Step 5: Solve for x
    x = 31,608.42/175.11
  6. Step 6: Final answer
    x = 180.51

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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.