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Finding the Fourth Proportional to 200.81, 277.14 and 113.50

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Solution

The fourth proportional to 200.81, 277.14 and 113.50 is: 156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.81 : 277.14 = 113.50 : x
  2. Step 2: Convert to fraction form
    200.81/277.14 = 113.50/x
  3. Step 3: Cross multiply
    200.81x = 277.14 × 113.50
  4. Step 4: Simplify right side
    200.81x = 31,455.52
  5. Step 5: Solve for x
    x = 31,455.52/200.81
  6. Step 6: Final answer
    x = 156.64

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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.