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Finding the Fourth Proportional to 200.78, 277.06 and 113.46

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Solution

The fourth proportional to 200.78, 277.06 and 113.46 is: 156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.78 : 277.06 = 113.46 : x
  2. Step 2: Convert to fraction form
    200.78/277.06 = 113.46/x
  3. Step 3: Cross multiply
    200.78x = 277.06 × 113.46
  4. Step 4: Simplify right side
    200.78x = 31,435.23
  5. Step 5: Solve for x
    x = 31,435.23/200.78
  6. Step 6: Final answer
    x = 156.57

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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.