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Finding the Fourth Proportional to 216.10, 298.25 and 157.29

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Solution

The fourth proportional to 216.10, 298.25 and 157.29 is: 217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.10 : 298.25 = 157.29 : x
  2. Step 2: Convert to fraction form
    216.10/298.25 = 157.29/x
  3. Step 3: Cross multiply
    216.10x = 298.25 × 157.29
  4. Step 4: Simplify right side
    216.10x = 46,911.74
  5. Step 5: Solve for x
    x = 46,911.74/216.10
  6. Step 6: Final answer
    x = 217.08

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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.