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Finding the Fourth Proportional to 342.29, 513.76 and 157.29

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Solution

The fourth proportional to 342.29, 513.76 and 157.29 is: 236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.29 : 513.76 = 157.29 : x
  2. Step 2: Convert to fraction form
    342.29/513.76 = 157.29/x
  3. Step 3: Cross multiply
    342.29x = 513.76 × 157.29
  4. Step 4: Simplify right side
    342.29x = 80,808.92
  5. Step 5: Solve for x
    x = 80,808.92/342.29
  6. Step 6: Final answer
    x = 236.08

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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.