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Finding the Fourth Proportional to 200.69, 300.77 and 176.25

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Solution

The fourth proportional to 200.69, 300.77 and 176.25 is: 264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.69 : 300.77 = 176.25 : x
  2. Step 2: Convert to fraction form
    200.69/300.77 = 176.25/x
  3. Step 3: Cross multiply
    200.69x = 300.77 × 176.25
  4. Step 4: Simplify right side
    200.69x = 53,010.71
  5. Step 5: Solve for x
    x = 53,010.71/200.69
  6. Step 6: Final answer
    x = 264.14

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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.