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Finding the Fourth Proportional to 307.98, 425.02 and 175.20

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Solution

The fourth proportional to 307.98, 425.02 and 175.20 is: 241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.98 : 425.02 = 175.20 : x
  2. Step 2: Convert to fraction form
    307.98/425.02 = 175.20/x
  3. Step 3: Cross multiply
    307.98x = 425.02 × 175.20
  4. Step 4: Simplify right side
    307.98x = 74,463.50
  5. Step 5: Solve for x
    x = 74,463.50/307.98
  6. Step 6: Final answer
    x = 241.78

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