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Finding the Fourth Proportional to 213.02, 294.11 and 157.01

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Solution

The fourth proportional to 213.02, 294.11 and 157.01 is: 216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.02 : 294.11 = 157.01 : x
  2. Step 2: Convert to fraction form
    213.02/294.11 = 157.01/x
  3. Step 3: Cross multiply
    213.02x = 294.11 × 157.01
  4. Step 4: Simplify right side
    213.02x = 46,177.53
  5. Step 5: Solve for x
    x = 46,177.53/213.02
  6. Step 6: Final answer
    x = 216.78

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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.