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Finding the Fourth Proportional to 343.10, 514.92 and 180.84

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Solution

The fourth proportional to 343.10, 514.92 and 180.84 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.10 : 514.92 = 180.84 : x
  2. Step 2: Convert to fraction form
    343.10/514.92 = 180.84/x
  3. Step 3: Cross multiply
    343.10x = 514.92 × 180.84
  4. Step 4: Simplify right side
    343.10x = 93,118.13
  5. Step 5: Solve for x
    x = 93,118.13/343.10
  6. Step 6: Final answer
    x = 271.40

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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.