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Finding the Fourth Proportional to 240.99, 361.61 and 177.39

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Solution

The fourth proportional to 240.99, 361.61 and 177.39 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.99 : 361.61 = 177.39 : x
  2. Step 2: Convert to fraction form
    240.99/361.61 = 177.39/x
  3. Step 3: Cross multiply
    240.99x = 361.61 × 177.39
  4. Step 4: Simplify right side
    240.99x = 64,145.11
  5. Step 5: Solve for x
    x = 64,145.11/240.99
  6. Step 6: Final answer
    x = 266.17

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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.