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Finding the Fourth Proportional to 213.58, 319.95 and 141.46

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Solution

The fourth proportional to 213.58, 319.95 and 141.46 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.58 : 319.95 = 141.46 : x
  2. Step 2: Convert to fraction form
    213.58/319.95 = 141.46/x
  3. Step 3: Cross multiply
    213.58x = 319.95 × 141.46
  4. Step 4: Simplify right side
    213.58x = 45,260.13
  5. Step 5: Solve for x
    x = 45,260.13/213.58
  6. Step 6: Final answer
    x = 211.91

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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.