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Finding the Fourth Proportional to 242.20, 361.76 and 208.06

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Solution

The fourth proportional to 242.20, 361.76 and 208.06 is: 310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.20 : 361.76 = 208.06 : x
  2. Step 2: Convert to fraction form
    242.20/361.76 = 208.06/x
  3. Step 3: Cross multiply
    242.20x = 361.76 × 208.06
  4. Step 4: Simplify right side
    242.20x = 75,267.79
  5. Step 5: Solve for x
    x = 75,267.79/242.20
  6. Step 6: Final answer
    x = 310.77

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Why These Related Problems?

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