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Finding the Fourth Proportional to 343.60, 515.23 and 100.06

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Solution

The fourth proportional to 343.60, 515.23 and 100.06 is: 150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.60 : 515.23 = 100.06 : x
  2. Step 2: Convert to fraction form
    343.60/515.23 = 100.06/x
  3. Step 3: Cross multiply
    343.60x = 515.23 × 100.06
  4. Step 4: Simplify right side
    343.60x = 51,552.38
  5. Step 5: Solve for x
    x = 51,552.38/343.60
  6. Step 6: Final answer
    x = 150.04

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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.