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Finding the Fourth Proportional to 242.88, 334.62 and 199.50

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Solution

The fourth proportional to 242.88, 334.62 and 199.50 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.88 : 334.62 = 199.50 : x
  2. Step 2: Convert to fraction form
    242.88/334.62 = 199.50/x
  3. Step 3: Cross multiply
    242.88x = 334.62 × 199.50
  4. Step 4: Simplify right side
    242.88x = 66,756.69
  5. Step 5: Solve for x
    x = 66,756.69/242.88
  6. Step 6: Final answer
    x = 274.85

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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.