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Finding the Fourth Proportional to 200.30, 299.67 and 177.21

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Solution

The fourth proportional to 200.30, 299.67 and 177.21 is: 265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 299.67 = 177.21 : x
  2. Step 2: Convert to fraction form
    200.30/299.67 = 177.21/x
  3. Step 3: Cross multiply
    200.30x = 299.67 × 177.21
  4. Step 4: Simplify right side
    200.30x = 53,103.86
  5. Step 5: Solve for x
    x = 53,103.86/200.30
  6. Step 6: Final answer
    x = 265.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.