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Finding the Fourth Proportional to 200.78, 277.08 and 113.48

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Solution

The fourth proportional to 200.78, 277.08 and 113.48 is: 156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.78 : 277.08 = 113.48 : x
  2. Step 2: Convert to fraction form
    200.78/277.08 = 113.48/x
  3. Step 3: Cross multiply
    200.78x = 277.08 × 113.48
  4. Step 4: Simplify right side
    200.78x = 31,443.04
  5. Step 5: Solve for x
    x = 31,443.04/200.78
  6. Step 6: Final answer
    x = 156.60

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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.