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Finding the Fourth Proportional to 300.76, 414.86 and 202.52

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Solution

The fourth proportional to 300.76, 414.86 and 202.52 is: 279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.76 : 414.86 = 202.52 : x
  2. Step 2: Convert to fraction form
    300.76/414.86 = 202.52/x
  3. Step 3: Cross multiply
    300.76x = 414.86 × 202.52
  4. Step 4: Simplify right side
    300.76x = 84,017.45
  5. Step 5: Solve for x
    x = 84,017.45/300.76
  6. Step 6: Final answer
    x = 279.35

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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.