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Finding the Fourth Proportional to 343.10, 514.65 and 123.74

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Solution

The fourth proportional to 343.10, 514.65 and 123.74 is: 185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.10 : 514.65 = 123.74 : x
  2. Step 2: Convert to fraction form
    343.10/514.65 = 123.74/x
  3. Step 3: Cross multiply
    343.10x = 514.65 × 123.74
  4. Step 4: Simplify right side
    343.10x = 63,682.61
  5. Step 5: Solve for x
    x = 63,682.61/343.10
  6. Step 6: Final answer
    x = 185.61

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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.