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Finding the Fourth Proportional to 314.94, 472.47 and 160.80

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Solution

The fourth proportional to 314.94, 472.47 and 160.80 is: 241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 472.47 = 160.80 : x
  2. Step 2: Convert to fraction form
    314.94/472.47 = 160.80/x
  3. Step 3: Cross multiply
    314.94x = 472.47 × 160.80
  4. Step 4: Simplify right side
    314.94x = 75,973.18
  5. Step 5: Solve for x
    x = 75,973.18/314.94
  6. Step 6: Final answer
    x = 241.23

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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.