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Finding the Fourth Proportional to 174.69, 241.11 and 145.53

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Solution

The fourth proportional to 174.69, 241.11 and 145.53 is: 200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.69 : 241.11 = 145.53 : x
  2. Step 2: Convert to fraction form
    174.69/241.11 = 145.53/x
  3. Step 3: Cross multiply
    174.69x = 241.11 × 145.53
  4. Step 4: Simplify right side
    174.69x = 35,088.74
  5. Step 5: Solve for x
    x = 35,088.74/174.69
  6. Step 6: Final answer
    x = 200.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.