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Finding the Fourth Proportional to 343.25, 514.73 and 148.34

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Solution

The fourth proportional to 343.25, 514.73 and 148.34 is: 222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.25 : 514.73 = 148.34 : x
  2. Step 2: Convert to fraction form
    343.25/514.73 = 148.34/x
  3. Step 3: Cross multiply
    343.25x = 514.73 × 148.34
  4. Step 4: Simplify right side
    343.25x = 76,355.05
  5. Step 5: Solve for x
    x = 76,355.05/343.25
  6. Step 6: Final answer
    x = 222.45

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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.