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Finding the Fourth Proportional to 343, 514.54 and 126.60

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Solution

The fourth proportional to 343, 514.54 and 126.60 is: 189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 514.54 = 126.60 : x
  2. Step 2: Convert to fraction form
    343/514.54 = 126.60/x
  3. Step 3: Cross multiply
    343x = 514.54 × 126.60
  4. Step 4: Simplify right side
    343x = 65,140.76
  5. Step 5: Solve for x
    x = 65,140.76/343
  6. Step 6: Final answer
    x = 189.91

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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.