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Finding the Fourth Proportional to 345.18, 516.14 and 233.67

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Solution

The fourth proportional to 345.18, 516.14 and 233.67 is: 349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.18 : 516.14 = 233.67 : x
  2. Step 2: Convert to fraction form
    345.18/516.14 = 233.67/x
  3. Step 3: Cross multiply
    345.18x = 516.14 × 233.67
  4. Step 4: Simplify right side
    345.18x = 120,605.27
  5. Step 5: Solve for x
    x = 120,605.27/345.18
  6. Step 6: Final answer
    x = 349.40

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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.