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Finding the Fourth Proportional to 343.36, 514.62 and 148.27

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Solution

The fourth proportional to 343.36, 514.62 and 148.27 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.36 : 514.62 = 148.27 : x
  2. Step 2: Convert to fraction form
    343.36/514.62 = 148.27/x
  3. Step 3: Cross multiply
    343.36x = 514.62 × 148.27
  4. Step 4: Simplify right side
    343.36x = 76,302.71
  5. Step 5: Solve for x
    x = 76,302.71/343.36
  6. Step 6: Final answer
    x = 222.22

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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.