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Finding the Fourth Proportional to 334, 500.69 and 117.46

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Solution

The fourth proportional to 334, 500.69 and 117.46 is: 176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 500.69 = 117.46 : x
  2. Step 2: Convert to fraction form
    334/500.69 = 117.46/x
  3. Step 3: Cross multiply
    334x = 500.69 × 117.46
  4. Step 4: Simplify right side
    334x = 58,811.05
  5. Step 5: Solve for x
    x = 58,811.05/334
  6. Step 6: Final answer
    x = 176.08

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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.