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Finding the Fourth Proportional to 183.69, 275.46 and 174.58

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Solution

The fourth proportional to 183.69, 275.46 and 174.58 is: 261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 275.46 = 174.58 : x
  2. Step 2: Convert to fraction form
    183.69/275.46 = 174.58/x
  3. Step 3: Cross multiply
    183.69x = 275.46 × 174.58
  4. Step 4: Simplify right side
    183.69x = 48,089.81
  5. Step 5: Solve for x
    x = 48,089.81/183.69
  6. Step 6: Final answer
    x = 261.80

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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.