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Finding the Fourth Proportional to 468.89, 703.14 and 160.68

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Solution

The fourth proportional to 468.89, 703.14 and 160.68 is: 240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.89 : 703.14 = 160.68 : x
  2. Step 2: Convert to fraction form
    468.89/703.14 = 160.68/x
  3. Step 3: Cross multiply
    468.89x = 703.14 × 160.68
  4. Step 4: Simplify right side
    468.89x = 112,980.54
  5. Step 5: Solve for x
    x = 112,980.54/468.89
  6. Step 6: Final answer
    x = 240.96

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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.