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Finding the Fourth Proportional to 216.96, 297.24 and 208.32

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Solution

The fourth proportional to 216.96, 297.24 and 208.32 is: 285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 297.24 = 208.32 : x
  2. Step 2: Convert to fraction form
    216.96/297.24 = 208.32/x
  3. Step 3: Cross multiply
    216.96x = 297.24 × 208.32
  4. Step 4: Simplify right side
    216.96x = 61,921.04
  5. Step 5: Solve for x
    x = 61,921.04/216.96
  6. Step 6: Final answer
    x = 285.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.