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Finding the Fourth Proportional to 200.84, 277.07 and 135.23

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Solution

The fourth proportional to 200.84, 277.07 and 135.23 is: 186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.84 : 277.07 = 135.23 : x
  2. Step 2: Convert to fraction form
    200.84/277.07 = 135.23/x
  3. Step 3: Cross multiply
    200.84x = 277.07 × 135.23
  4. Step 4: Simplify right side
    200.84x = 37,466.45
  5. Step 5: Solve for x
    x = 37,466.45/200.84
  6. Step 6: Final answer
    x = 186.55

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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.