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Finding the Fourth Proportional to 334.29, 501.52 and 114.93

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Solution

The fourth proportional to 334.29, 501.52 and 114.93 is: 172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.29 : 501.52 = 114.93 : x
  2. Step 2: Convert to fraction form
    334.29/501.52 = 114.93/x
  3. Step 3: Cross multiply
    334.29x = 501.52 × 114.93
  4. Step 4: Simplify right side
    334.29x = 57,639.41
  5. Step 5: Solve for x
    x = 57,639.41/334.29
  6. Step 6: Final answer
    x = 172.42

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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.