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Finding the Fourth Proportional to 213.29, 294.06 and 157.10

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Solution

The fourth proportional to 213.29, 294.06 and 157.10 is: 216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.29 : 294.06 = 157.10 : x
  2. Step 2: Convert to fraction form
    213.29/294.06 = 157.10/x
  3. Step 3: Cross multiply
    213.29x = 294.06 × 157.10
  4. Step 4: Simplify right side
    213.29x = 46,196.83
  5. Step 5: Solve for x
    x = 46,196.83/213.29
  6. Step 6: Final answer
    x = 216.59

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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.