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Finding the Fourth Proportional to 242.96, 362.66 and 242.33

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Solution

The fourth proportional to 242.96, 362.66 and 242.33 is: 361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 362.66 = 242.33 : x
  2. Step 2: Convert to fraction form
    242.96/362.66 = 242.33/x
  3. Step 3: Cross multiply
    242.96x = 362.66 × 242.33
  4. Step 4: Simplify right side
    242.96x = 87,880.37
  5. Step 5: Solve for x
    x = 87,880.37/242.96
  6. Step 6: Final answer
    x = 361.71

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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.