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Finding the Fourth Proportional to 468.84, 703.36 and 160.92

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Solution

The fourth proportional to 468.84, 703.36 and 160.92 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 703.36 = 160.92 : x
  2. Step 2: Convert to fraction form
    468.84/703.36 = 160.92/x
  3. Step 3: Cross multiply
    468.84x = 703.36 × 160.92
  4. Step 4: Simplify right side
    468.84x = 113,184.69
  5. Step 5: Solve for x
    x = 113,184.69/468.84
  6. Step 6: Final answer
    x = 241.41

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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.