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Finding the Fourth Proportional to 342.51, 513.92 and 159.88

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Solution

The fourth proportional to 342.51, 513.92 and 159.88 is: 239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 513.92 = 159.88 : x
  2. Step 2: Convert to fraction form
    342.51/513.92 = 159.88/x
  3. Step 3: Cross multiply
    342.51x = 513.92 × 159.88
  4. Step 4: Simplify right side
    342.51x = 82,165.53
  5. Step 5: Solve for x
    x = 82,165.53/342.51
  6. Step 6: Final answer
    x = 239.89

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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.