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Finding the Fourth Proportional to 343.04, 514.06 and 180.23

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Solution

The fourth proportional to 343.04, 514.06 and 180.23 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.04 : 514.06 = 180.23 : x
  2. Step 2: Convert to fraction form
    343.04/514.06 = 180.23/x
  3. Step 3: Cross multiply
    343.04x = 514.06 × 180.23
  4. Step 4: Simplify right side
    343.04x = 92,649.87
  5. Step 5: Solve for x
    x = 92,649.87/343.04
  6. Step 6: Final answer
    x = 270.08

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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.