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Finding the Fourth Proportional to 468.99, 703.47 and 160.82

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Solution

The fourth proportional to 468.99, 703.47 and 160.82 is: 241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.99 : 703.47 = 160.82 : x
  2. Step 2: Convert to fraction form
    468.99/703.47 = 160.82/x
  3. Step 3: Cross multiply
    468.99x = 703.47 × 160.82
  4. Step 4: Simplify right side
    468.99x = 113,128.53
  5. Step 5: Solve for x
    x = 113,128.53/468.99
  6. Step 6: Final answer
    x = 241.22

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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.