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Finding the Fourth Proportional to 145.91, 218.97 and 142.27

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Solution

The fourth proportional to 145.91, 218.97 and 142.27 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.91 : 218.97 = 142.27 : x
  2. Step 2: Convert to fraction form
    145.91/218.97 = 142.27/x
  3. Step 3: Cross multiply
    145.91x = 218.97 × 142.27
  4. Step 4: Simplify right side
    145.91x = 31,152.31
  5. Step 5: Solve for x
    x = 31,152.31/145.91
  6. Step 6: Final answer
    x = 213.50

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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.