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Finding the Fourth Proportional to 334.34, 501.74 and 117.92

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Solution

The fourth proportional to 334.34, 501.74 and 117.92 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.34 : 501.74 = 117.92 : x
  2. Step 2: Convert to fraction form
    334.34/501.74 = 117.92/x
  3. Step 3: Cross multiply
    334.34x = 501.74 × 117.92
  4. Step 4: Simplify right side
    334.34x = 59,165.18
  5. Step 5: Solve for x
    x = 59,165.18/334.34
  6. Step 6: Final answer
    x = 176.96

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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.