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Finding the Fourth Proportional to 319.34, 479.12 and 114.01

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Solution

The fourth proportional to 319.34, 479.12 and 114.01 is: 171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.34 : 479.12 = 114.01 : x
  2. Step 2: Convert to fraction form
    319.34/479.12 = 114.01/x
  3. Step 3: Cross multiply
    319.34x = 479.12 × 114.01
  4. Step 4: Simplify right side
    319.34x = 54,622.70
  5. Step 5: Solve for x
    x = 54,622.70/319.34
  6. Step 6: Final answer
    x = 171.05

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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.