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Finding the Fourth Proportional to 431.96, 647.36 and 188.24

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Solution

The fourth proportional to 431.96, 647.36 and 188.24 is: 282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.96 : 647.36 = 188.24 : x
  2. Step 2: Convert to fraction form
    431.96/647.36 = 188.24/x
  3. Step 3: Cross multiply
    431.96x = 647.36 × 188.24
  4. Step 4: Simplify right side
    431.96x = 121,859.05
  5. Step 5: Solve for x
    x = 121,859.05/431.96
  6. Step 6: Final answer
    x = 282.11

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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.