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Finding the Fourth Proportional to 145.30, 218.13 and 141.97

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Solution

The fourth proportional to 145.30, 218.13 and 141.97 is: 213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.30 : 218.13 = 141.97 : x
  2. Step 2: Convert to fraction form
    145.30/218.13 = 141.97/x
  3. Step 3: Cross multiply
    145.30x = 218.13 × 141.97
  4. Step 4: Simplify right side
    145.30x = 30,967.92
  5. Step 5: Solve for x
    x = 30,967.92/145.30
  6. Step 6: Final answer
    x = 213.13

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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.