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Finding the Fourth Proportional to 343.01, 514.85 and 180.81

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Solution

The fourth proportional to 343.01, 514.85 and 180.81 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.01 : 514.85 = 180.81 : x
  2. Step 2: Convert to fraction form
    343.01/514.85 = 180.81/x
  3. Step 3: Cross multiply
    343.01x = 514.85 × 180.81
  4. Step 4: Simplify right side
    343.01x = 93,090.03
  5. Step 5: Solve for x
    x = 93,090.03/343.01
  6. Step 6: Final answer
    x = 271.39

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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.