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Finding the Fourth Proportional to 305.64, 421.62 and 202.12

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Solution

The fourth proportional to 305.64, 421.62 and 202.12 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 421.62 = 202.12 : x
  2. Step 2: Convert to fraction form
    305.64/421.62 = 202.12/x
  3. Step 3: Cross multiply
    305.64x = 421.62 × 202.12
  4. Step 4: Simplify right side
    305.64x = 85,217.83
  5. Step 5: Solve for x
    x = 85,217.83/305.64
  6. Step 6: Final answer
    x = 278.82

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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.