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Finding the Fourth Proportional to 301.21, 415.80 and 202.93

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Solution

The fourth proportional to 301.21, 415.80 and 202.93 is: 280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.21 : 415.80 = 202.93 : x
  2. Step 2: Convert to fraction form
    301.21/415.80 = 202.93/x
  3. Step 3: Cross multiply
    301.21x = 415.80 × 202.93
  4. Step 4: Simplify right side
    301.21x = 84,378.29
  5. Step 5: Solve for x
    x = 84,378.29/301.21
  6. Step 6: Final answer
    x = 280.13

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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.