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Finding the Fourth Proportional to 278.64, 418.16 and 206.52

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Solution

The fourth proportional to 278.64, 418.16 and 206.52 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 418.16 = 206.52 : x
  2. Step 2: Convert to fraction form
    278.64/418.16 = 206.52/x
  3. Step 3: Cross multiply
    278.64x = 418.16 × 206.52
  4. Step 4: Simplify right side
    278.64x = 86,358.40
  5. Step 5: Solve for x
    x = 86,358.40/278.64
  6. Step 6: Final answer
    x = 309.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.