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Finding the Fourth Proportional to 200.64, 301.98 and 180.75

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Solution

The fourth proportional to 200.64, 301.98 and 180.75 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.64 : 301.98 = 180.75 : x
  2. Step 2: Convert to fraction form
    200.64/301.98 = 180.75/x
  3. Step 3: Cross multiply
    200.64x = 301.98 × 180.75
  4. Step 4: Simplify right side
    200.64x = 54,582.89
  5. Step 5: Solve for x
    x = 54,582.89/200.64
  6. Step 6: Final answer
    x = 272.04

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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.