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Finding the Fourth Proportional to 343.64, 515.32 and 138.08

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Solution

The fourth proportional to 343.64, 515.32 and 138.08 is: 207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.64 : 515.32 = 138.08 : x
  2. Step 2: Convert to fraction form
    343.64/515.32 = 138.08/x
  3. Step 3: Cross multiply
    343.64x = 515.32 × 138.08
  4. Step 4: Simplify right side
    343.64x = 71,155.39
  5. Step 5: Solve for x
    x = 71,155.39/343.64
  6. Step 6: Final answer
    x = 207.06

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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.