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Finding the Fourth Proportional to 342.18, 512.46 and 177.21

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Solution

The fourth proportional to 342.18, 512.46 and 177.21 is: 265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.18 : 512.46 = 177.21 : x
  2. Step 2: Convert to fraction form
    342.18/512.46 = 177.21/x
  3. Step 3: Cross multiply
    342.18x = 512.46 × 177.21
  4. Step 4: Simplify right side
    342.18x = 90,809.59
  5. Step 5: Solve for x
    x = 90,809.59/342.18
  6. Step 6: Final answer
    x = 265.39

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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.