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Finding the Fourth Proportional to 176.37, 263.98 and 160.38

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Solution

The fourth proportional to 176.37, 263.98 and 160.38 is: 240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.37 : 263.98 = 160.38 : x
  2. Step 2: Convert to fraction form
    176.37/263.98 = 160.38/x
  3. Step 3: Cross multiply
    176.37x = 263.98 × 160.38
  4. Step 4: Simplify right side
    176.37x = 42,337.11
  5. Step 5: Solve for x
    x = 42,337.11/176.37
  6. Step 6: Final answer
    x = 240.05

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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.