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Finding the Fourth Proportional to 343.18, 514.38 and 148.08

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Solution

The fourth proportional to 343.18, 514.38 and 148.08 is: 221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.18 : 514.38 = 148.08 : x
  2. Step 2: Convert to fraction form
    343.18/514.38 = 148.08/x
  3. Step 3: Cross multiply
    343.18x = 514.38 × 148.08
  4. Step 4: Simplify right side
    343.18x = 76,169.39
  5. Step 5: Solve for x
    x = 76,169.39/343.18
  6. Step 6: Final answer
    x = 221.95

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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.