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Finding the Fourth Proportional to 213.63, 294.80 and 202.08

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Solution

The fourth proportional to 213.63, 294.80 and 202.08 is: 278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.63 : 294.80 = 202.08 : x
  2. Step 2: Convert to fraction form
    213.63/294.80 = 202.08/x
  3. Step 3: Cross multiply
    213.63x = 294.80 × 202.08
  4. Step 4: Simplify right side
    213.63x = 59,573.18
  5. Step 5: Solve for x
    x = 59,573.18/213.63
  6. Step 6: Final answer
    x = 278.86

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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.