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Finding the Fourth Proportional to 176.67, 263.58 and 147.96

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Solution

The fourth proportional to 176.67, 263.58 and 147.96 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.67 : 263.58 = 147.96 : x
  2. Step 2: Convert to fraction form
    176.67/263.58 = 147.96/x
  3. Step 3: Cross multiply
    176.67x = 263.58 × 147.96
  4. Step 4: Simplify right side
    176.67x = 38,999.30
  5. Step 5: Solve for x
    x = 38,999.30/176.67
  6. Step 6: Final answer
    x = 220.75

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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.