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Finding the Fourth Proportional to 309.31, 463.96 and 114.30

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Solution

The fourth proportional to 309.31, 463.96 and 114.30 is: 171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.31 : 463.96 = 114.30 : x
  2. Step 2: Convert to fraction form
    309.31/463.96 = 114.30/x
  3. Step 3: Cross multiply
    309.31x = 463.96 × 114.30
  4. Step 4: Simplify right side
    309.31x = 53,030.63
  5. Step 5: Solve for x
    x = 53,030.63/309.31
  6. Step 6: Final answer
    x = 171.45

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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.