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Finding the Fourth Proportional to 240.19, 361.52 and 204.95

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Solution

The fourth proportional to 240.19, 361.52 and 204.95 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.19 : 361.52 = 204.95 : x
  2. Step 2: Convert to fraction form
    240.19/361.52 = 204.95/x
  3. Step 3: Cross multiply
    240.19x = 361.52 × 204.95
  4. Step 4: Simplify right side
    240.19x = 74,094.17
  5. Step 5: Solve for x
    x = 74,094.17/240.19
  6. Step 6: Final answer
    x = 308.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.