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Finding the Fourth Proportional to 334.03, 500.10 and 177.50

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Solution

The fourth proportional to 334.03, 500.10 and 177.50 is: 265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.03 : 500.10 = 177.50 : x
  2. Step 2: Convert to fraction form
    334.03/500.10 = 177.50/x
  3. Step 3: Cross multiply
    334.03x = 500.10 × 177.50
  4. Step 4: Simplify right side
    334.03x = 88,767.75
  5. Step 5: Solve for x
    x = 88,767.75/334.03
  6. Step 6: Final answer
    x = 265.75

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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.