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Finding the Fourth Proportional to 145.68, 200.41 and 131.71

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Solution

The fourth proportional to 145.68, 200.41 and 131.71 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 200.41 = 131.71 : x
  2. Step 2: Convert to fraction form
    145.68/200.41 = 131.71/x
  3. Step 3: Cross multiply
    145.68x = 200.41 × 131.71
  4. Step 4: Simplify right side
    145.68x = 26,395.55
  5. Step 5: Solve for x
    x = 26,395.55/145.68
  6. Step 6: Final answer
    x = 181.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.