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Finding the Fourth Proportional to 342.03, 512.95 and 159.24

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Solution

The fourth proportional to 342.03, 512.95 and 159.24 is: 238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.03 : 512.95 = 159.24 : x
  2. Step 2: Convert to fraction form
    342.03/512.95 = 159.24/x
  3. Step 3: Cross multiply
    342.03x = 512.95 × 159.24
  4. Step 4: Simplify right side
    342.03x = 81,682.16
  5. Step 5: Solve for x
    x = 81,682.16/342.03
  6. Step 6: Final answer
    x = 238.82

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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.