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Finding the Fourth Proportional to 200.79, 277.16 and 142.47

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Solution

The fourth proportional to 200.79, 277.16 and 142.47 is: 196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.79 : 277.16 = 142.47 : x
  2. Step 2: Convert to fraction form
    200.79/277.16 = 142.47/x
  3. Step 3: Cross multiply
    200.79x = 277.16 × 142.47
  4. Step 4: Simplify right side
    200.79x = 39,486.27
  5. Step 5: Solve for x
    x = 39,486.27/200.79
  6. Step 6: Final answer
    x = 196.65

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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.