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Finding the Fourth Proportional to 342.51, 513.29 and 159.45

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Solution

The fourth proportional to 342.51, 513.29 and 159.45 is: 238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 513.29 = 159.45 : x
  2. Step 2: Convert to fraction form
    342.51/513.29 = 159.45/x
  3. Step 3: Cross multiply
    342.51x = 513.29 × 159.45
  4. Step 4: Simplify right side
    342.51x = 81,843.29
  5. Step 5: Solve for x
    x = 81,843.29/342.51
  6. Step 6: Final answer
    x = 238.95

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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.