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Finding the Fourth Proportional to 345.12, 517.06 and 180.38

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Solution

The fourth proportional to 345.12, 517.06 and 180.38 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.12 : 517.06 = 180.38 : x
  2. Step 2: Convert to fraction form
    345.12/517.06 = 180.38/x
  3. Step 3: Cross multiply
    345.12x = 517.06 × 180.38
  4. Step 4: Simplify right side
    345.12x = 93,267.28
  5. Step 5: Solve for x
    x = 93,267.28/345.12
  6. Step 6: Final answer
    x = 270.25

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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.