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Finding the Fourth Proportional to 200.00, 275.87 and 117.03

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Solution

The fourth proportional to 200.00, 275.87 and 117.03 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.00 : 275.87 = 117.03 : x
  2. Step 2: Convert to fraction form
    200.00/275.87 = 117.03/x
  3. Step 3: Cross multiply
    200.00x = 275.87 × 117.03
  4. Step 4: Simplify right side
    200.00x = 32,284.48
  5. Step 5: Solve for x
    x = 32,284.48/200.00
  6. Step 6: Final answer
    x = 161.43

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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.