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Finding the Fourth Proportional to 175.60, 242.12 and 131.92

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Solution

The fourth proportional to 175.60, 242.12 and 131.92 is: 181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.60 : 242.12 = 131.92 : x
  2. Step 2: Convert to fraction form
    175.60/242.12 = 131.92/x
  3. Step 3: Cross multiply
    175.60x = 242.12 × 131.92
  4. Step 4: Simplify right side
    175.60x = 31,940.47
  5. Step 5: Solve for x
    x = 31,940.47/175.60
  6. Step 6: Final answer
    x = 181.89

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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.