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Finding the Fourth Proportional to 577.19, 865.71 and 187.16

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Solution

The fourth proportional to 577.19, 865.71 and 187.16 is: 280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.19 : 865.71 = 187.16 : x
  2. Step 2: Convert to fraction form
    577.19/865.71 = 187.16/x
  3. Step 3: Cross multiply
    577.19x = 865.71 × 187.16
  4. Step 4: Simplify right side
    577.19x = 162,021.96
  5. Step 5: Solve for x
    x = 162,021.96/577.19
  6. Step 6: Final answer
    x = 280.71

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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.