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Finding the Fourth Proportional to 469.31, 703.82 and 160.98

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Solution

The fourth proportional to 469.31, 703.82 and 160.98 is: 241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.31 : 703.82 = 160.98 : x
  2. Step 2: Convert to fraction form
    469.31/703.82 = 160.98/x
  3. Step 3: Cross multiply
    469.31x = 703.82 × 160.98
  4. Step 4: Simplify right side
    469.31x = 113,300.14
  5. Step 5: Solve for x
    x = 113,300.14/469.31
  6. Step 6: Final answer
    x = 241.42

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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.