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Finding the Fourth Proportional to 200.64, 277 and 135.22

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Solution

The fourth proportional to 200.64, 277 and 135.22 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.64 : 277 = 135.22 : x
  2. Step 2: Convert to fraction form
    200.64/277 = 135.22/x
  3. Step 3: Cross multiply
    200.64x = 277 × 135.22
  4. Step 4: Simplify right side
    200.64x = 37,455.94
  5. Step 5: Solve for x
    x = 37,455.94/200.64
  6. Step 6: Final answer
    x = 186.68

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Why These Related Problems?

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