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Finding the Fourth Proportional to 270.58, 405.24 and 205.66

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Solution

The fourth proportional to 270.58, 405.24 and 205.66 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.58 : 405.24 = 205.66 : x
  2. Step 2: Convert to fraction form
    270.58/405.24 = 205.66/x
  3. Step 3: Cross multiply
    270.58x = 405.24 × 205.66
  4. Step 4: Simplify right side
    270.58x = 83,341.66
  5. Step 5: Solve for x
    x = 83,341.66/270.58
  6. Step 6: Final answer
    x = 308.01

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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.