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Finding the Fourth Proportional to 301.16, 415.62 and 209

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Solution

The fourth proportional to 301.16, 415.62 and 209 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.16 : 415.62 = 209 : x
  2. Step 2: Convert to fraction form
    301.16/415.62 = 209/x
  3. Step 3: Cross multiply
    301.16x = 415.62 × 209
  4. Step 4: Simplify right side
    301.16x = 86,864.58
  5. Step 5: Solve for x
    x = 86,864.58/301.16
  6. Step 6: Final answer
    x = 288.43

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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.