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Finding the Fourth Proportional to 145.76, 200.18 and 132.80

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Solution

The fourth proportional to 145.76, 200.18 and 132.80 is: 182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 200.18 = 132.80 : x
  2. Step 2: Convert to fraction form
    145.76/200.18 = 132.80/x
  3. Step 3: Cross multiply
    145.76x = 200.18 × 132.80
  4. Step 4: Simplify right side
    145.76x = 26,583.90
  5. Step 5: Solve for x
    x = 26,583.90/145.76
  6. Step 6: Final answer
    x = 182.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.