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Finding the Fourth Proportional to 145.26, 200.66 and 125.82

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Solution

The fourth proportional to 145.26, 200.66 and 125.82 is: 173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.26 : 200.66 = 125.82 : x
  2. Step 2: Convert to fraction form
    145.26/200.66 = 125.82/x
  3. Step 3: Cross multiply
    145.26x = 200.66 × 125.82
  4. Step 4: Simplify right side
    145.26x = 25,247.04
  5. Step 5: Solve for x
    x = 25,247.04/145.26
  6. Step 6: Final answer
    x = 173.81

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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.