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Finding the Fourth Proportional to 361.10, 497.81 and 242.87

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Solution

The fourth proportional to 361.10, 497.81 and 242.87 is: 334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.10 : 497.81 = 242.87 : x
  2. Step 2: Convert to fraction form
    361.10/497.81 = 242.87/x
  3. Step 3: Cross multiply
    361.10x = 497.81 × 242.87
  4. Step 4: Simplify right side
    361.10x = 120,901.90
  5. Step 5: Solve for x
    x = 120,901.90/361.10
  6. Step 6: Final answer
    x = 334.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.