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Finding the Fourth Proportional to 270.84, 405.50 and 206.52

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Solution

The fourth proportional to 270.84, 405.50 and 206.52 is: 309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 405.50 = 206.52 : x
  2. Step 2: Convert to fraction form
    270.84/405.50 = 206.52/x
  3. Step 3: Cross multiply
    270.84x = 405.50 × 206.52
  4. Step 4: Simplify right side
    270.84x = 83,743.86
  5. Step 5: Solve for x
    x = 83,743.86/270.84
  6. Step 6: Final answer
    x = 309.20

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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.