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Finding the Fourth Proportional to 213.10, 294.45 and 158.02

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Solution

The fourth proportional to 213.10, 294.45 and 158.02 is: 218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 294.45 = 158.02 : x
  2. Step 2: Convert to fraction form
    213.10/294.45 = 158.02/x
  3. Step 3: Cross multiply
    213.10x = 294.45 × 158.02
  4. Step 4: Simplify right side
    213.10x = 46,528.99
  5. Step 5: Solve for x
    x = 46,528.99/213.10
  6. Step 6: Final answer
    x = 218.34

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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.