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Finding the Fourth Proportional to 181.60, 271.92 and 130.18

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Solution

The fourth proportional to 181.60, 271.92 and 130.18 is: 194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.60 : 271.92 = 130.18 : x
  2. Step 2: Convert to fraction form
    181.60/271.92 = 130.18/x
  3. Step 3: Cross multiply
    181.60x = 271.92 × 130.18
  4. Step 4: Simplify right side
    181.60x = 35,398.55
  5. Step 5: Solve for x
    x = 35,398.55/181.60
  6. Step 6: Final answer
    x = 194.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.