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Finding the Fourth Proportional to 468.88, 703.40 and 160.76

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Solution

The fourth proportional to 468.88, 703.40 and 160.76 is: 241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 703.40 = 160.76 : x
  2. Step 2: Convert to fraction form
    468.88/703.40 = 160.76/x
  3. Step 3: Cross multiply
    468.88x = 703.40 × 160.76
  4. Step 4: Simplify right side
    468.88x = 113,077.78
  5. Step 5: Solve for x
    x = 113,077.78/468.88
  6. Step 6: Final answer
    x = 241.17

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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.