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Finding the Fourth Proportional to 307.68, 462.08 and 242.88

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Solution

The fourth proportional to 307.68, 462.08 and 242.88 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 462.08 = 242.88 : x
  2. Step 2: Convert to fraction form
    307.68/462.08 = 242.88/x
  3. Step 3: Cross multiply
    307.68x = 462.08 × 242.88
  4. Step 4: Simplify right side
    307.68x = 112,229.99
  5. Step 5: Solve for x
    x = 112,229.99/307.68
  6. Step 6: Final answer
    x = 364.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.