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Finding the Fourth Proportional to 174.69, 261.53 and 158.47

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Solution

The fourth proportional to 174.69, 261.53 and 158.47 is: 237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.69 : 261.53 = 158.47 : x
  2. Step 2: Convert to fraction form
    174.69/261.53 = 158.47/x
  3. Step 3: Cross multiply
    174.69x = 261.53 × 158.47
  4. Step 4: Simplify right side
    174.69x = 41,444.66
  5. Step 5: Solve for x
    x = 41,444.66/174.69
  6. Step 6: Final answer
    x = 237.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.