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Finding the Fourth Proportional to 200.61, 277.04 and 130.67

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Solution

The fourth proportional to 200.61, 277.04 and 130.67 is: 180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.61 : 277.04 = 130.67 : x
  2. Step 2: Convert to fraction form
    200.61/277.04 = 130.67/x
  3. Step 3: Cross multiply
    200.61x = 277.04 × 130.67
  4. Step 4: Simplify right side
    200.61x = 36,198.78
  5. Step 5: Solve for x
    x = 36,198.78/200.61
  6. Step 6: Final answer
    x = 180.44

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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.