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Finding the Fourth Proportional to 343.95, 516.00 and 148.97

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Solution

The fourth proportional to 343.95, 516.00 and 148.97 is: 223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.95 : 516.00 = 148.97 : x
  2. Step 2: Convert to fraction form
    343.95/516.00 = 148.97/x
  3. Step 3: Cross multiply
    343.95x = 516.00 × 148.97
  4. Step 4: Simplify right side
    343.95x = 76,870.37
  5. Step 5: Solve for x
    x = 76,870.37/343.95
  6. Step 6: Final answer
    x = 223.50

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Why These Related Problems?

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