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Finding the Fourth Proportional to 261.44, 360.66 and 174.14

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Solution

The fourth proportional to 261.44, 360.66 and 174.14 is: 240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.44 : 360.66 = 174.14 : x
  2. Step 2: Convert to fraction form
    261.44/360.66 = 174.14/x
  3. Step 3: Cross multiply
    261.44x = 360.66 × 174.14
  4. Step 4: Simplify right side
    261.44x = 62,805.33
  5. Step 5: Solve for x
    x = 62,805.33/261.44
  6. Step 6: Final answer
    x = 240.23

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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.