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Finding the Fourth Proportional to 270.81, 405.54 and 140.58

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Solution

The fourth proportional to 270.81, 405.54 and 140.58 is: 210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.81 : 405.54 = 140.58 : x
  2. Step 2: Convert to fraction form
    270.81/405.54 = 140.58/x
  3. Step 3: Cross multiply
    270.81x = 405.54 × 140.58
  4. Step 4: Simplify right side
    270.81x = 57,010.81
  5. Step 5: Solve for x
    x = 57,010.81/270.81
  6. Step 6: Final answer
    x = 210.52

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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.