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Finding the Fourth Proportional to 175.34, 241.99 and 116.23

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Solution

The fourth proportional to 175.34, 241.99 and 116.23 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.34 : 241.99 = 116.23 : x
  2. Step 2: Convert to fraction form
    175.34/241.99 = 116.23/x
  3. Step 3: Cross multiply
    175.34x = 241.99 × 116.23
  4. Step 4: Simplify right side
    175.34x = 28,124.71
  5. Step 5: Solve for x
    x = 28,124.71/175.34
  6. Step 6: Final answer
    x = 160.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.