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Finding the Fourth Proportional to 309.20, 463.80 and 114.25

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Solution

The fourth proportional to 309.20, 463.80 and 114.25 is: 171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.20 : 463.80 = 114.25 : x
  2. Step 2: Convert to fraction form
    309.20/463.80 = 114.25/x
  3. Step 3: Cross multiply
    309.20x = 463.80 × 114.25
  4. Step 4: Simplify right side
    309.20x = 52,987.12
  5. Step 5: Solve for x
    x = 52,987.12/309.20
  6. Step 6: Final answer
    x = 171.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.