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Finding the Fourth Proportional to 196.93, 295.46 and 177.76

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Solution

The fourth proportional to 196.93, 295.46 and 177.76 is: 266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.93 : 295.46 = 177.76 : x
  2. Step 2: Convert to fraction form
    196.93/295.46 = 177.76/x
  3. Step 3: Cross multiply
    196.93x = 295.46 × 177.76
  4. Step 4: Simplify right side
    196.93x = 52,518.60
  5. Step 5: Solve for x
    x = 52,518.60/196.93
  6. Step 6: Final answer
    x = 266.69

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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.