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Finding the Fourth Proportional to 334.08, 501.14 and 114.70

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Solution

The fourth proportional to 334.08, 501.14 and 114.70 is: 172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.08 : 501.14 = 114.70 : x
  2. Step 2: Convert to fraction form
    334.08/501.14 = 114.70/x
  3. Step 3: Cross multiply
    334.08x = 501.14 × 114.70
  4. Step 4: Simplify right side
    334.08x = 57,480.76
  5. Step 5: Solve for x
    x = 57,480.76/334.08
  6. Step 6: Final answer
    x = 172.06

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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.