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Finding the Fourth Proportional to 274.10, 409.01 and 242.10

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Solution

The fourth proportional to 274.10, 409.01 and 242.10 is: 361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.10 : 409.01 = 242.10 : x
  2. Step 2: Convert to fraction form
    274.10/409.01 = 242.10/x
  3. Step 3: Cross multiply
    274.10x = 409.01 × 242.10
  4. Step 4: Simplify right side
    274.10x = 99,020.11
  5. Step 5: Solve for x
    x = 99,020.11/274.10
  6. Step 6: Final answer
    x = 361.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.