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Finding the Fourth Proportional to 216.72, 299.19 and 210.99

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Solution

The fourth proportional to 216.72, 299.19 and 210.99 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.72 : 299.19 = 210.99 : x
  2. Step 2: Convert to fraction form
    216.72/299.19 = 210.99/x
  3. Step 3: Cross multiply
    216.72x = 299.19 × 210.99
  4. Step 4: Simplify right side
    216.72x = 63,126.10
  5. Step 5: Solve for x
    x = 63,126.10/216.72
  6. Step 6: Final answer
    x = 291.28

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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.