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Finding the Fourth Proportional to 577, 865.50 and 192.25

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Solution

The fourth proportional to 577, 865.50 and 192.25 is: 288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577 : 865.50 = 192.25 : x
  2. Step 2: Convert to fraction form
    577/865.50 = 192.25/x
  3. Step 3: Cross multiply
    577x = 865.50 × 192.25
  4. Step 4: Simplify right side
    577x = 166,392.38
  5. Step 5: Solve for x
    x = 166,392.38/577
  6. Step 6: Final answer
    x = 288.38

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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.