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Finding the Fourth Proportional to 334.16, 500.84 and 187.69

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Solution

The fourth proportional to 334.16, 500.84 and 187.69 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.16 : 500.84 = 187.69 : x
  2. Step 2: Convert to fraction form
    334.16/500.84 = 187.69/x
  3. Step 3: Cross multiply
    334.16x = 500.84 × 187.69
  4. Step 4: Simplify right side
    334.16x = 93,999.22
  5. Step 5: Solve for x
    x = 93,999.22/334.16
  6. Step 6: Final answer
    x = 281.30

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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.