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Finding the Fourth Proportional to 240.97, 361.39 and 176.00

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Solution

The fourth proportional to 240.97, 361.39 and 176.00 is: 263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.97 : 361.39 = 176.00 : x
  2. Step 2: Convert to fraction form
    240.97/361.39 = 176.00/x
  3. Step 3: Cross multiply
    240.97x = 361.39 × 176.00
  4. Step 4: Simplify right side
    240.97x = 63,602.39
  5. Step 5: Solve for x
    x = 63,602.39/240.97
  6. Step 6: Final answer
    x = 263.95

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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.