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Finding the Fourth Proportional to 301, 414.96 and 202.60

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Solution

The fourth proportional to 301, 414.96 and 202.60 is: 279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 414.96 = 202.60 : x
  2. Step 2: Convert to fraction form
    301/414.96 = 202.60/x
  3. Step 3: Cross multiply
    301x = 414.96 × 202.60
  4. Step 4: Simplify right side
    301x = 84,070.90
  5. Step 5: Solve for x
    x = 84,070.90/301
  6. Step 6: Final answer
    x = 279.31

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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.