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Finding the Fourth Proportional to 342.63, 513.95 and 160

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Solution

The fourth proportional to 342.63, 513.95 and 160 is: 240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.63 : 513.95 = 160 : x
  2. Step 2: Convert to fraction form
    342.63/513.95 = 160/x
  3. Step 3: Cross multiply
    342.63x = 513.95 × 160
  4. Step 4: Simplify right side
    342.63x = 82,232
  5. Step 5: Solve for x
    x = 82,232/342.63
  6. Step 6: Final answer
    x = 240.00

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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.