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Finding the Fourth Proportional to 300.48, 414.28 and 202.16

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Solution

The fourth proportional to 300.48, 414.28 and 202.16 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.48 : 414.28 = 202.16 : x
  2. Step 2: Convert to fraction form
    300.48/414.28 = 202.16/x
  3. Step 3: Cross multiply
    300.48x = 414.28 × 202.16
  4. Step 4: Simplify right side
    300.48x = 83,750.84
  5. Step 5: Solve for x
    x = 83,750.84/300.48
  6. Step 6: Final answer
    x = 278.72

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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.