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Finding the Fourth Proportional to 300.91, 415.60 and 202.50

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Solution

The fourth proportional to 300.91, 415.60 and 202.50 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.91 : 415.60 = 202.50 : x
  2. Step 2: Convert to fraction form
    300.91/415.60 = 202.50/x
  3. Step 3: Cross multiply
    300.91x = 415.60 × 202.50
  4. Step 4: Simplify right side
    300.91x = 84,159.24
  5. Step 5: Solve for x
    x = 84,159.24/300.91
  6. Step 6: Final answer
    x = 279.68

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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.