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Finding the Fourth Proportional to 261.17, 360.56 and 174.23

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Solution

The fourth proportional to 261.17, 360.56 and 174.23 is: 240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.17 : 360.56 = 174.23 : x
  2. Step 2: Convert to fraction form
    261.17/360.56 = 174.23/x
  3. Step 3: Cross multiply
    261.17x = 360.56 × 174.23
  4. Step 4: Simplify right side
    261.17x = 62,820.37
  5. Step 5: Solve for x
    x = 62,820.37/261.17
  6. Step 6: Final answer
    x = 240.53

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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.