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Finding the Fourth Proportional to 320.02, 479.86 and 114.57

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Solution

The fourth proportional to 320.02, 479.86 and 114.57 is: 171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.02 : 479.86 = 114.57 : x
  2. Step 2: Convert to fraction form
    320.02/479.86 = 114.57/x
  3. Step 3: Cross multiply
    320.02x = 479.86 × 114.57
  4. Step 4: Simplify right side
    320.02x = 54,977.56
  5. Step 5: Solve for x
    x = 54,977.56/320.02
  6. Step 6: Final answer
    x = 171.79

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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.