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Finding the Fourth Proportional to 468.69, 703.05 and 160.53

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Solution

The fourth proportional to 468.69, 703.05 and 160.53 is: 240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.69 : 703.05 = 160.53 : x
  2. Step 2: Convert to fraction form
    468.69/703.05 = 160.53/x
  3. Step 3: Cross multiply
    468.69x = 703.05 × 160.53
  4. Step 4: Simplify right side
    468.69x = 112,860.62
  5. Step 5: Solve for x
    x = 112,860.62/468.69
  6. Step 6: Final answer
    x = 240.80

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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.