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Finding the Fourth Proportional to 216.44, 296.70 and 212.51

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Solution

The fourth proportional to 216.44, 296.70 and 212.51 is: 291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.44 : 296.70 = 212.51 : x
  2. Step 2: Convert to fraction form
    216.44/296.70 = 212.51/x
  3. Step 3: Cross multiply
    216.44x = 296.70 × 212.51
  4. Step 4: Simplify right side
    216.44x = 63,052.34
  5. Step 5: Solve for x
    x = 63,052.34/216.44
  6. Step 6: Final answer
    x = 291.32

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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.