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Finding the Fourth Proportional to 319.68, 479.54 and 114.22

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Solution

The fourth proportional to 319.68, 479.54 and 114.22 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 479.54 = 114.22 : x
  2. Step 2: Convert to fraction form
    319.68/479.54 = 114.22/x
  3. Step 3: Cross multiply
    319.68x = 479.54 × 114.22
  4. Step 4: Simplify right side
    319.68x = 54,773.06
  5. Step 5: Solve for x
    x = 54,773.06/319.68
  6. Step 6: Final answer
    x = 171.34

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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.