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Finding the Fourth Proportional to 176.62, 263.50 and 160.90

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Solution

The fourth proportional to 176.62, 263.50 and 160.90 is: 240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.62 : 263.50 = 160.90 : x
  2. Step 2: Convert to fraction form
    176.62/263.50 = 160.90/x
  3. Step 3: Cross multiply
    176.62x = 263.50 × 160.90
  4. Step 4: Simplify right side
    176.62x = 42,397.15
  5. Step 5: Solve for x
    x = 42,397.15/176.62
  6. Step 6: Final answer
    x = 240.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.