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Finding the Fourth Proportional to 431.69, 647.61 and 157.77

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Solution

The fourth proportional to 431.69, 647.61 and 157.77 is: 236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.69 : 647.61 = 157.77 : x
  2. Step 2: Convert to fraction form
    431.69/647.61 = 157.77/x
  3. Step 3: Cross multiply
    431.69x = 647.61 × 157.77
  4. Step 4: Simplify right side
    431.69x = 102,173.43
  5. Step 5: Solve for x
    x = 102,173.43/431.69
  6. Step 6: Final answer
    x = 236.69

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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.