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Finding the Fourth Proportional to 160.66, 241.04 and 117.38

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Solution

The fourth proportional to 160.66, 241.04 and 117.38 is: 176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.66 : 241.04 = 117.38 : x
  2. Step 2: Convert to fraction form
    160.66/241.04 = 117.38/x
  3. Step 3: Cross multiply
    160.66x = 241.04 × 117.38
  4. Step 4: Simplify right side
    160.66x = 28,293.28
  5. Step 5: Solve for x
    x = 28,293.28/160.66
  6. Step 6: Final answer
    x = 176.11

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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.