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Finding the Fourth Proportional to 342.70, 472.50 and 218.16

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Solution

The fourth proportional to 342.70, 472.50 and 218.16 is: 300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.70 : 472.50 = 218.16 : x
  2. Step 2: Convert to fraction form
    342.70/472.50 = 218.16/x
  3. Step 3: Cross multiply
    342.70x = 472.50 × 218.16
  4. Step 4: Simplify right side
    342.70x = 103,080.60
  5. Step 5: Solve for x
    x = 103,080.60/342.70
  6. Step 6: Final answer
    x = 300.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.