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Finding the Fourth Proportional to 145.38, 218.94 and 131.12

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Solution

The fourth proportional to 145.38, 218.94 and 131.12 is: 197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 218.94 = 131.12 : x
  2. Step 2: Convert to fraction form
    145.38/218.94 = 131.12/x
  3. Step 3: Cross multiply
    145.38x = 218.94 × 131.12
  4. Step 4: Simplify right side
    145.38x = 28,707.41
  5. Step 5: Solve for x
    x = 28,707.41/145.38
  6. Step 6: Final answer
    x = 197.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.