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Finding the Fourth Proportional to 334.07, 501.15 and 171.65

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Solution

The fourth proportional to 334.07, 501.15 and 171.65 is: 257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.07 : 501.15 = 171.65 : x
  2. Step 2: Convert to fraction form
    334.07/501.15 = 171.65/x
  3. Step 3: Cross multiply
    334.07x = 501.15 × 171.65
  4. Step 4: Simplify right side
    334.07x = 86,022.40
  5. Step 5: Solve for x
    x = 86,022.40/334.07
  6. Step 6: Final answer
    x = 257.50

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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.