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Finding the Fourth Proportional to 200, 275.80 and 130.08

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Solution

The fourth proportional to 200, 275.80 and 130.08 is: 179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 275.80 = 130.08 : x
  2. Step 2: Convert to fraction form
    200/275.80 = 130.08/x
  3. Step 3: Cross multiply
    200x = 275.80 × 130.08
  4. Step 4: Simplify right side
    200x = 35,876.06
  5. Step 5: Solve for x
    x = 35,876.06/200
  6. Step 6: Final answer
    x = 179.38

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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.