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Finding the Fourth Proportional to 270, 405.30 and 142.02

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Solution

The fourth proportional to 270, 405.30 and 142.02 is: 213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 405.30 = 142.02 : x
  2. Step 2: Convert to fraction form
    270/405.30 = 142.02/x
  3. Step 3: Cross multiply
    270x = 405.30 × 142.02
  4. Step 4: Simplify right side
    270x = 57,560.71
  5. Step 5: Solve for x
    x = 57,560.71/270
  6. Step 6: Final answer
    x = 213.19

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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.