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Finding the Fourth Proportional to 345.98, 519.08 and 140.67

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Solution

The fourth proportional to 345.98, 519.08 and 140.67 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 519.08 = 140.67 : x
  2. Step 2: Convert to fraction form
    345.98/519.08 = 140.67/x
  3. Step 3: Cross multiply
    345.98x = 519.08 × 140.67
  4. Step 4: Simplify right side
    345.98x = 73,019.47
  5. Step 5: Solve for x
    x = 73,019.47/345.98
  6. Step 6: Final answer
    x = 211.05

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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.