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Finding the Fourth Proportional to 193.80, 289.18 and 176.55

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Solution

The fourth proportional to 193.80, 289.18 and 176.55 is: 263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.80 : 289.18 = 176.55 : x
  2. Step 2: Convert to fraction form
    193.80/289.18 = 176.55/x
  3. Step 3: Cross multiply
    193.80x = 289.18 × 176.55
  4. Step 4: Simplify right side
    193.80x = 51,053.72
  5. Step 5: Solve for x
    x = 51,053.72/193.80
  6. Step 6: Final answer
    x = 263.44

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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.