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Finding the Fourth Proportional to 216.51, 298.82 and 142.81

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Solution

The fourth proportional to 216.51, 298.82 and 142.81 is: 197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.51 : 298.82 = 142.81 : x
  2. Step 2: Convert to fraction form
    216.51/298.82 = 142.81/x
  3. Step 3: Cross multiply
    216.51x = 298.82 × 142.81
  4. Step 4: Simplify right side
    216.51x = 42,673.77
  5. Step 5: Solve for x
    x = 42,673.77/216.51
  6. Step 6: Final answer
    x = 197.10

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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.