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Finding the Fourth Proportional to 215.64, 298.89 and 212.16

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Solution

The fourth proportional to 215.64, 298.89 and 212.16 is: 294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 298.89 = 212.16 : x
  2. Step 2: Convert to fraction form
    215.64/298.89 = 212.16/x
  3. Step 3: Cross multiply
    215.64x = 298.89 × 212.16
  4. Step 4: Simplify right side
    215.64x = 63,412.50
  5. Step 5: Solve for x
    x = 63,412.50/215.64
  6. Step 6: Final answer
    x = 294.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.