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Finding the Fourth Proportional to 334.26, 501.25 and 117.74

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Solution

The fourth proportional to 334.26, 501.25 and 117.74 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.26 : 501.25 = 117.74 : x
  2. Step 2: Convert to fraction form
    334.26/501.25 = 117.74/x
  3. Step 3: Cross multiply
    334.26x = 501.25 × 117.74
  4. Step 4: Simplify right side
    334.26x = 59,017.18
  5. Step 5: Solve for x
    x = 59,017.18/334.26
  6. Step 6: Final answer
    x = 176.56

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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.