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Finding the Fourth Proportional to 216.23, 298.64 and 142.87

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Solution

The fourth proportional to 216.23, 298.64 and 142.87 is: 197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.23 : 298.64 = 142.87 : x
  2. Step 2: Convert to fraction form
    216.23/298.64 = 142.87/x
  3. Step 3: Cross multiply
    216.23x = 298.64 × 142.87
  4. Step 4: Simplify right side
    216.23x = 42,666.06
  5. Step 5: Solve for x
    x = 42,666.06/216.23
  6. Step 6: Final answer
    x = 197.32

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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.