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Finding the Fourth Proportional to 577.50, 866.25 and 192.75

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Solution

The fourth proportional to 577.50, 866.25 and 192.75 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.50 : 866.25 = 192.75 : x
  2. Step 2: Convert to fraction form
    577.50/866.25 = 192.75/x
  3. Step 3: Cross multiply
    577.50x = 866.25 × 192.75
  4. Step 4: Simplify right side
    577.50x = 166,969.69
  5. Step 5: Solve for x
    x = 166,969.69/577.50
  6. Step 6: Final answer
    x = 289.13

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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.