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Finding the Fourth Proportional to 241.60, 361.68 and 177.76

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Solution

The fourth proportional to 241.60, 361.68 and 177.76 is: 266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.60 : 361.68 = 177.76 : x
  2. Step 2: Convert to fraction form
    241.60/361.68 = 177.76/x
  3. Step 3: Cross multiply
    241.60x = 361.68 × 177.76
  4. Step 4: Simplify right side
    241.60x = 64,292.24
  5. Step 5: Solve for x
    x = 64,292.24/241.60
  6. Step 6: Final answer
    x = 266.11

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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.