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Finding the Fourth Proportional to 300.40, 414.54 and 202

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Solution

The fourth proportional to 300.40, 414.54 and 202 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 414.54 = 202 : x
  2. Step 2: Convert to fraction form
    300.40/414.54 = 202/x
  3. Step 3: Cross multiply
    300.40x = 414.54 × 202
  4. Step 4: Simplify right side
    300.40x = 83,737.08
  5. Step 5: Solve for x
    x = 83,737.08/300.40
  6. Step 6: Final answer
    x = 278.75

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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.